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Math Problems
Algebra 2
Add, subtract, multiply, and divide polynomials
3
x
2
−
3
x
+
5
=
0
3 x^{2}-3 x+5=0
3
x
2
−
3
x
+
5
=
0
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(
3
s
+
1
)
(
s
−
4
)
=
−
5
(
s
−
1
)
(3 s+1)(s-4)=-5(s-1)
(
3
s
+
1
)
(
s
−
4
)
=
−
5
(
s
−
1
)
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x
2
−
7
x
−
8
x
2
−
64
\frac{x^{2}-7 x-8}{x^{2}-64}
x
2
−
64
x
2
−
7
x
−
8
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x
!
(
x
−
2
)
!
=
12
\frac{x!}{(x-2)!}=12
(
x
−
2
)!
x
!
=
12
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Add.
\newline
(
6
d
−
2
)
+
(
d
2
−
5
)
(6 d-2)+\left(d^{2}-5\right)
(
6
d
−
2
)
+
(
d
2
−
5
)
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(
5
w
−
2
)
3
(5w-2)^3
(
5
w
−
2
)
3
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Simplify the expression.
\newline
6
x
5
−
2
(
10
x
5
)
6x^5-2(10x^5)
6
x
5
−
2
(
10
x
5
)
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Simplify.
\newline
(
5
2
)
−
(
−
5
2
)
\left(5^{2}\right)-\left(-5^{2}\right)
(
5
2
)
−
(
−
5
2
)
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Find the product. Simplify your answer.
\newline
2
a
2
(
3
a
2
+
3
)
2a^2(3a^2 + 3)
2
a
2
(
3
a
2
+
3
)
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Find the product. Simplify your answer.
\newline
(
p
4
)
(
−
6
p
3
)
(p^4)(-6p^3)
(
p
4
)
(
−
6
p
3
)
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Add.
\newline
(
3
n
2
+
n
+
5
)
+
(
8
n
2
+
9
n
)
(3n^2 + n + 5) + (8n^2 + 9n)
(
3
n
2
+
n
+
5
)
+
(
8
n
2
+
9
n
)
\newline
______
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Add.
\newline
(
7
x
2
+
7
x
)
+
(
5
x
2
+
4
)
(7x^2 + 7x) + (5x^2 + 4)
(
7
x
2
+
7
x
)
+
(
5
x
2
+
4
)
\newline
______
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Add.
\newline
(
2
j
2
+
2
j
+
2
)
+
8
j
2
(2j^2 + 2j + 2) + 8j^2
(
2
j
2
+
2
j
+
2
)
+
8
j
2
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Add.
\newline
(
8
v
+
5
)
+
(
v
2
+
6
)
(8v + 5) + (v^2 + 6)
(
8
v
+
5
)
+
(
v
2
+
6
)
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Add.
\newline
(
3
v
2
+
8
v
+
3
)
+
(
2
v
2
+
7
v
)
(3v^2 + 8v + 3) + (2v^2 + 7v)
(
3
v
2
+
8
v
+
3
)
+
(
2
v
2
+
7
v
)
\newline
______
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Add.
\newline
(
5
n
2
+
8
)
+
(
9
n
2
+
6
)
(5n^2 + 8) + (9n^2 + 6)
(
5
n
2
+
8
)
+
(
9
n
2
+
6
)
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Find the product. Simplify your answer.
\newline
(
4
s
+
4
)
(
2
s
+
4
)
(4s + 4)(2s + 4)
(
4
s
+
4
)
(
2
s
+
4
)
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Add.
\newline
(
9
k
2
+
7
k
+
6
)
+
(
9
k
2
+
5
k
+
4
)
(9k^2 + 7k + 6) + (9k^2 + 5k + 4)
(
9
k
2
+
7
k
+
6
)
+
(
9
k
2
+
5
k
+
4
)
\newline
______
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Find the product. Simplify your answer.
\newline
(
t
+
3
)
(
2
t
−
3
)
(t + 3)(2t - 3)
(
t
+
3
)
(
2
t
−
3
)
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Find the product. Simplify your answer.
\newline
(
4
t
+
4
)
(
4
t
+
1
)
(4t + 4)(4t + 1)
(
4
t
+
4
)
(
4
t
+
1
)
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Find the product. Simplify your answer.
\newline
8
(
−
3
a
2
+
a
)
8(-3a^2 + a)
8
(
−
3
a
2
+
a
)
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Find the product. Simplify your answer.
\newline
−
9
(
3
w
2
+
4
)
-9(3w^2 + 4)
−
9
(
3
w
2
+
4
)
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Find the product. Simplify your answer.
\newline
−
8
(
2
q
2
+
1
)
-8(2q^2 + 1)
−
8
(
2
q
2
+
1
)
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Solve for
w
w
w
.
\newline
−
6
(
w
−
4
)
+
8
w
=
2
(
w
+
9
)
-6(w-4)+8 w=2(w+9)
−
6
(
w
−
4
)
+
8
w
=
2
(
w
+
9
)
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Simplify the expression
6
w
+
1
2
(
18
w
−
30
)
6 w+\frac{1}{2}(18 w-30)
6
w
+
2
1
(
18
w
−
30
)
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Simplify.
a
n
=
3
n
7
−
n
a_{n}=3^{n} 7^{-n}
a
n
=
3
n
7
−
n
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Expand the expression :
(
x
−
3
)
(
x
2
+
3
x
+
9
)
(x-3)\left(x^{2}+3 x+9\right)
(
x
−
3
)
(
x
2
+
3
x
+
9
)
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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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Solve the equation:
(
7
−
8
z
2
−
11
z
)
+
(
15
z
+
13
−
12
z
2
)
=
−
20
z
2
+
b
z
+
20
(7-8z^2-11z)+(15z+13-12z^2)=-20z^2+bz+20
(
7
−
8
z
2
−
11
z
)
+
(
15
z
+
13
−
12
z
2
)
=
−
20
z
2
+
b
z
+
20
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Simplify.
2
−
4
(
5
p
+
1
)
2-4(5p+1)
2
−
4
(
5
p
+
1
)
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Solve:
(
1
−
1
3
)
−
2
3
(1 - \frac{1}{\sqrt{3}}) - \frac{2}{3}
(
1
−
3
1
)
−
3
2
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x
+
5
5
=
6
x
−
2
\frac{x+5}{5}=\frac{6}{x-2}
5
x
+
5
=
x
−
2
6
Find `x`
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Find
x
x
x
.
6
(
2
x
−
1
)
−
4
=
8
6(2x-1)-4=8
6
(
2
x
−
1
)
−
4
=
8
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Simplify.
−
3
k
−
(
−
8
)
+
2
-3k-(-8)+2
−
3
k
−
(
−
8
)
+
2
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Simplify.
8
n
+
12
+
(
−
9
)
−
(
−
6
n
)
8n+12+(-9)-(-6n)
8
n
+
12
+
(
−
9
)
−
(
−
6
n
)
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Calculate the value of x:
2
x
−
6
1001
+
2
x
−
5
1002
+
2
x
−
4
1003
=
3
\frac{2x-6}{1001}+\frac{2x-5}{1002}+\frac{2x-4}{1003}=3
1001
2
x
−
6
+
1002
2
x
−
5
+
1003
2
x
−
4
=
3
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Solve for y:
4
3
x
+
y
−
1
=
0
\frac{4}{3}x+y-1=0
3
4
x
+
y
−
1
=
0
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What are the solutions of the quadratic equation
2
x
2
−
5
x
+
3
=
0
2x^{2}-5x+3=0
2
x
2
−
5
x
+
3
=
0
.
Get tutor help
Solve for
r
r
r
.
\newline
(
1
r
−
2
)
+
(
1
r
2
−
7
r
+
10
)
=
(
6
r
−
2
)
\left(\frac{1}{r-2}\right)+\left(\frac{1}{r^{2}-7r+10}\right)=\left(\frac{6}{r-2}\right)
(
r
−
2
1
)
+
(
r
2
−
7
r
+
10
1
)
=
(
r
−
2
6
)
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Simplify:
−
5
−
7
x
−
5
x
+
10
2
x
−
4
x
−
6
\frac{-5-7x-5x+10}{2x-4x-6}
2
x
−
4
x
−
6
−
5
−
7
x
−
5
x
+
10
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x
−
3
2
=
1
729
x^{-\frac{3}{2}} = \frac{1}{729}
x
−
2
3
=
729
1
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x
x
+
5
+
x
+
5
x
−
5
=
50
x
2
−
25
\frac{x}{x+5}+\frac{x+5}{x-5}=\frac{50}{x^{2}-25}
x
+
5
x
+
x
−
5
x
+
5
=
x
2
−
25
50
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−
7
+
3
(
−
4
e
−
3
)
-7+3(-4e-3)
−
7
+
3
(
−
4
e
−
3
)
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f)
10
p
2
−
9
p
+
2
10 p^{2}-9 p+2
10
p
2
−
9
p
+
2
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Subtract.
\newline
(
9
n
2
+
6
n
)
−
(
n
2
+
n
)
(9n^{2}+6n)-(n^{2}+n)
(
9
n
2
+
6
n
)
−
(
n
2
+
n
)
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Multiply.
(
9
+
m
)
(
−
m
+
9
)
(9+m)(-m+9)
(
9
+
m
)
(
−
m
+
9
)
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Factor completely:
\newline
(
4
x
−
7
)
(
3
x
−
5
)
−
(
3
x
−
5
)
(
3
x
+
2
)
(4 x-7)(3 x-5)-(3 x-5)(3 x+2)
(
4
x
−
7
)
(
3
x
−
5
)
−
(
3
x
−
5
)
(
3
x
+
2
)
\newline
Answer:
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Factor completely:
\newline
(
2
x
−
3
)
2
(
x
−
8
)
−
(
2
x
−
3
)
(
3
x
+
4
)
(2 x-3)^{2}(x-8)-(2 x-3)(3 x+4)
(
2
x
−
3
)
2
(
x
−
8
)
−
(
2
x
−
3
)
(
3
x
+
4
)
\newline
Answer:
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Factor completely:
\newline
(
5
x
−
6
)
(
3
x
−
5
)
−
(
3
x
−
2
)
(
3
x
−
5
)
(5 x-6)(3 x-5)-(3 x-2)(3 x-5)
(
5
x
−
6
)
(
3
x
−
5
)
−
(
3
x
−
2
)
(
3
x
−
5
)
\newline
Answer:
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Solve for
x
x
x
:
6
(
x
−
2
)
−
8
=
−
4
(
x
−
5
)
6(x-2)-8=-4(x-5)
6
(
x
−
2
)
−
8
=
−
4
(
x
−
5
)
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