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Math Problems
Algebra 2
Add, subtract, multiply, and divide polynomials
(
2
2
2
x
−
1
-1
−
1
)(x
−
5
-5
−
5
)(x+
2
2
2
) =
0
0
0
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2
−
4
(
5
p
+
1
)
2-4(5p+1)
2
−
4
(
5
p
+
1
)
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6
6
6
\left(\frac{
1
1
1
}{
2
2
2
}w - \frac{
3
3
3
}{
4
4
4
}\right)
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What is
1
2
(
−
20
)
\frac{1}{2}(-20)
2
1
(
−
20
)
?
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Solve the linear equation.
\newline
x
−
5
3
=
x
−
3
5
\frac{x-5}{3} = \frac{x-3}{5}
3
x
−
5
=
5
x
−
3
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(
3
3
3
c
−
4
-4
−
4
c^
2
2
2
+c^
3
3
3
)-(
5
5
5
c^
2
2
2
+
8
8
8
c^
3
3
3
−
6
-6
−
6
c)
\newline
A)
−
7
-7
−
7
c^
3
3
3
−
9
-9
−
9
c^
2
2
2
+
9
9
9
c
\newline
B)
−
7
-7
−
7
c^
3
3
3
−
9
-9
−
9
c^
2
2
2
−
3
-3
−
3
c
\newline
C)
−
7
-7
−
7
c^
3
3
3
+
9
9
9
c^
2
2
2
+
9
9
9
c
\newline
D)
−
7
-7
−
7
c^
3
3
3
+
9
9
9
c^
2
2
2
−
3
-3
−
3
c
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Simplify:
3167
−
(
450
−
78
)
3167-(450-78)
3167
−
(
450
−
78
)
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Solve for
w
w
w
:
−
3
(
2
w
+
6
)
−
4
-3(2w+6)-4
−
3
(
2
w
+
6
)
−
4
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Solve for
j
j
j
:
4
(
3
j
+
(
−
4
)
)
−
9
4(3j+(-4))-9
4
(
3
j
+
(
−
4
))
−
9
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Simplify:
2
(
−
6
c
+
3
)
+
4
c
2(-6c+3)+4c
2
(
−
6
c
+
3
)
+
4
c
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Simplify:
8
k
−
5
(
−
5
k
+
3
)
8k-5(-5k+3)
8
k
−
5
(
−
5
k
+
3
)
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−
5
+
(
−
5
r
)
+
10
-5+(-5r) + 10
−
5
+
(
−
5
r
)
+
10
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(
−
12
)
3
+
7
3
+
5
3
(-12)^3+7^3+5^3
(
−
12
)
3
+
7
3
+
5
3
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Simplify the expression:
(
3
x
9
y
−
4
)
(
−
4
x
5
y
7
)
(3x^{9}y^{-4})(-4x^{5}y^{7})
(
3
x
9
y
−
4
)
(
−
4
x
5
y
7
)
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Factor the expression
3
p
2
−
2
p
−
5
3 p^{2}-2 p-5
3
p
2
−
2
p
−
5
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Solve for
d
d
d
:
10
(
−
4
d
+
11
)
=
3
d
+
8
10(-4d+11)=3d+8
10
(
−
4
d
+
11
)
=
3
d
+
8
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P
−
P
−
1
2
=
1
−
P
−
1
3
\frac{P-P-1}{2}=\frac{1-P-1}{3}
2
P
−
P
−
1
=
3
1
−
P
−
1
Find
P
P
P
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Find
x
x
x
\newline
2
x
−
(
7
−
5
x
)
9
x
−
(
3
+
4
x
)
=
7
6
\frac{2 x-(7-5 x)}{9 x-(3+4 x)}=\frac{7}{6}
9
x
−
(
3
+
4
x
)
2
x
−
(
7
−
5
x
)
=
6
7
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Simplify
2
(
x
+
6
)
−
8
2(x+6)-8
2
(
x
+
6
)
−
8
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3
t
−
2
4
−
2
t
+
3
3
=
2
3
−
t
\frac{3 t-2}{4}-\frac{2 t+3}{3}=\frac{2}{3}-t
4
3
t
−
2
−
3
2
t
+
3
=
3
2
−
t
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(
5
5
−
6
)
−
(
5
+
4
)
=
(5 \sqrt{5}-6)-(\sqrt{5}+4)=
(
5
5
−
6
)
−
(
5
+
4
)
=
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(iii)
6
(
8
)
n
+
1
+
16
(
2
)
3
n
−
2
10
(
2
)
3
n
+
1
−
7
(
8
)
n
\frac{6(8)^{n+1}+16(2)^{3 n-2}}{10(2)^{3 n+1}-7(8)^{n}}
10
(
2
)
3
n
+
1
−
7
(
8
)
n
6
(
8
)
n
+
1
+
16
(
2
)
3
n
−
2
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Ten students sit together.
\newline
(a) In how many ways can they sit if they sit in a row?
\newline
(b) In how many ways can they sit if they sit in two rows with five seats each?
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2
x
2
+
11
x
−
9
2
x
−
3
\frac{2x^{2}+11x-9}{2x-3}
2
x
−
3
2
x
2
+
11
x
−
9
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3
x
2
+
x
−
6
4
=
2
\frac{3x}{2}+\frac{x-6}{4}=2
2
3
x
+
4
x
−
6
=
2
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Expand the expression:
(
5
x
−
9
)
(
10
x
+
3
)
(5x-9)(10x+3)
(
5
x
−
9
)
(
10
x
+
3
)
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Multiply.
(
7
+
4
2
)
(
2
7
−
3
2
)
(\sqrt{7}+4 \sqrt{2})(2 \sqrt{7}-3 \sqrt{2})
(
7
+
4
2
)
(
2
7
−
3
2
)
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lim
x
→
−
7
x
+
7
∣
x
+
7
∣
\lim _{x \rightarrow-7} \frac{x+7}{|x+7|}
lim
x
→
−
7
∣
x
+
7∣
x
+
7
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Add:
\newline
3
(
1
2
)
+
4
(
1
4
)
+
(
3
5
)
3\left(\frac{1}{2}\right)+4\left(\frac{1}{4}\right)+\left(\frac{3}{5}\right)
3
(
2
1
)
+
4
(
4
1
)
+
(
5
3
)
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Simplify:
\newline
(
−
4
p
3
)
3
(-4p^{3})^{3}
(
−
4
p
3
)
3
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Evaluate the expression:
5
(
2
)
(
−
3
)
+
(
2
)
2
−
2
(
−
3
)
2
5(2)(-3)+(2)^2-2(-3)^2
5
(
2
)
(
−
3
)
+
(
2
)
2
−
2
(
−
3
)
2
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(
3
n
4
)
2
\left(3 n^{4}\right)^{2}
(
3
n
4
)
2
=
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Solve for
u
u
u
.
\newline
3
u
2
=
−
7
u
−
4
3 u^{2}=-7 u-4
3
u
2
=
−
7
u
−
4
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Simplify
\newline
x
2
−
4
x
(
x
+
3
)
(
5
x
−
20
)
\frac{x^{2}-4x}{(x+3)(5x-20)}
(
x
+
3
)
(
5
x
−
20
)
x
2
−
4
x
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Which is equal to
1
7
3
\frac{1}{7^3}
7
3
1
?
\newline
Choices:
\newline
(A)
(
−
7
)
3
(-7)^3
(
−
7
)
3
\newline
(B)
−
7
3
-7^3
−
7
3
\newline
(C)
7
−
3
7^{-3}
7
−
3
\newline
(D)
−
1
7
−
3
-\frac{1}{7^{-3}}
−
7
−
3
1
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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
\newline
(
−
8
d
2
+
89
d
−
84
)
÷
(
d
−
10
)
(-8d^2 + 89d - 84) \div (d - 10)
(
−
8
d
2
+
89
d
−
84
)
÷
(
d
−
10
)
\newline
______
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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
\newline
(
−
6
g
+
49
)
÷
(
g
−
10
)
(-6g + 49) \div (g - 10)
(
−
6
g
+
49
)
÷
(
g
−
10
)
\newline
______
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Add.
\newline
(
−
5
p
2
−
3
p
−
5
)
+
(
−
7
p
3
−
4
p
2
−
2
p
+
9
)
(-5p^2 - 3p - 5) + (-7p^3 - 4p^2 - 2p + 9)
(
−
5
p
2
−
3
p
−
5
)
+
(
−
7
p
3
−
4
p
2
−
2
p
+
9
)
\newline
______
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Subtract.
\newline
(
8
w
2
+
3
w
−
6
)
−
(
−
6
w
−
1
)
(8w^2 + 3w - 6) - (-6w - 1)
(
8
w
2
+
3
w
−
6
)
−
(
−
6
w
−
1
)
\newline
______
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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
\newline
(
d
3
−
11
d
2
+
18
d
)
÷
(
d
−
9
)
(d^3 - 11d^2 + 18d) \div (d - 9)
(
d
3
−
11
d
2
+
18
d
)
÷
(
d
−
9
)
\newline
______
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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
\newline
(
−
5
f
2
+
50
f
)
÷
(
f
−
10
)
(-5f^2 + 50f) \div (f - 10)
(
−
5
f
2
+
50
f
)
÷
(
f
−
10
)
\newline
______
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Subtract.
\newline
(
6
a
3
+
4
a
2
+
6
a
+
5
)
−
(
3
a
2
+
3
a
+
2
)
(6a^3 + 4a^2 + 6a + 5) - (3a^2 + 3a + 2)
(
6
a
3
+
4
a
2
+
6
a
+
5
)
−
(
3
a
2
+
3
a
+
2
)
\newline
______
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Add.
\newline
(
−
7
s
2
+
9
s
)
+
(
9
s
−
1
)
(-7s^2 + 9s) + (9s - 1)
(
−
7
s
2
+
9
s
)
+
(
9
s
−
1
)
\newline
______
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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
\newline
(
5
w
2
+
24
w
+
21
)
÷
(
w
+
3
)
(5w^2 + 24w + 21) \div (w + 3)
(
5
w
2
+
24
w
+
21
)
÷
(
w
+
3
)
\newline
_____
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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
\newline
(
19
w
2
+
143
w
−
76
)
÷
(
w
+
8
)
(19w^2 + 143w - 76) \div (w + 8)
(
19
w
2
+
143
w
−
76
)
÷
(
w
+
8
)
\newline
_____
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7
4
×
7
3
\frac{7}{4} \times \frac{7}{3}
4
7
×
3
7
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−
3
7
×
3
8
-\frac{3}{7} \times \frac{3}{8}
−
7
3
×
8
3
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−
4
3
×
9
5
-\frac{4}{3} \times \frac{9}{5}
−
3
4
×
5
9
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−
7
8
×
(
−
7
5
)
-\frac{7}{8} \times\left(-\frac{7}{5}\right)
−
8
7
×
(
−
5
7
)
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1
2
×
(
−
1
7
)
\frac{1}{2} \times\left(-\frac{1}{7}\right)
2
1
×
(
−
7
1
)
Get tutor help
1
2
3
...
6
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