Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 2
Factor sums and differences of cubes
question:
f
(
x
)
=
(
x
−
2
)
(
x
+
4
)
(
x
+
5
)
(
x
−
1
)
(
x
−
9
)
f(x)=(x-2)(x+4)(x+5)(x-1)(x-9)
f
(
x
)
=
(
x
−
2
)
(
x
+
4
)
(
x
+
5
)
(
x
−
1
)
(
x
−
9
)
Get tutor help
Express
2
x
(
3
x
)
+
2
x
(
5
)
2x(3x)+2x(5)
2
x
(
3
x
)
+
2
x
(
5
)
in factored form.
\newline
(
2
x
2x
2
x
)(
3
x
3x
3
x
)(
5
5
5
)
\newline
2
x
2x
2
x
(
3
x
3x
3
x
+
5
5
5
)
\newline
6
x
2
6x^2
6
x
2
+
10
x
10x
10
x
Get tutor help
Solve using augmented matrices.
\newline
−
x
+
3
y
=
5
-x + 3y = 5
−
x
+
3
y
=
5
\newline
y
=
4
y = 4
y
=
4
\newline
(
_
,
_
)
(\_, \_)
(
_
,
_
)
Get tutor help
Find the derrivative of inverse trigonometric Function.
\newline
y
=
1
+
x
2
Arctan
x
−
x
y=1+x^{2} \operatorname{Arctan} x-x
y
=
1
+
x
2
Arctan
x
−
x
Get tutor help
find an expression for
x
x
x
in terms of
e
e
e
when
e
2
=
x
+
3
x
−
2
e^2=\frac{x+3}{x-2}
e
2
=
x
−
2
x
+
3
Get tutor help
Simplify the expression:
X
+
4
2
+
X
3
X+\frac{4}{2}+\frac{X}{3}
X
+
2
4
+
3
X
Get tutor help
Find the line's slope and a point on the line.
\newline
y
+
1
=
2
3
(
x
−
1
)
y+1=\frac{2}{3}(x-1)
y
+
1
=
3
2
(
x
−
1
)
Get tutor help
Simplify
\newline
16
x
−
8
x
4
=
2
\frac{16 x-8x}{4}=2
4
16
x
−
8
x
=
2
Get tutor help
Solve using augmented matrices.
\newline
y
=
10
y = 10
y
=
10
\newline
9
x
+
10
y
=
10
9x + 10y = 10
9
x
+
10
y
=
10
\newline
(_____, _____)
Get tutor help
Solve using augmented matrices.
\newline
4
x
+
y
=
5
4x + y = 5
4
x
+
y
=
5
\newline
y
=
−
3
y = -3
y
=
−
3
\newline
(_____, _____)
Get tutor help
Find the binomial that completes the factorization.
\newline
v
3
−
512
=
(
‾
)
(
v
2
+
8
v
+
64
)
v^3 - 512 = (\underline{\hspace{3cm}})(v^2 + 8v + 64)
v
3
−
512
=
(
)
(
v
2
+
8
v
+
64
)
Get tutor help
Find the binomial that completes the factorization.
\newline
w
3
+
512
=
(
‾
)
(
w
2
−
8
w
+
64
)
w^3 + 512 = (\underline{\hspace{3cm}})(w^2 - 8w + 64)
w
3
+
512
=
(
)
(
w
2
−
8
w
+
64
)
Get tutor help
Find the binomial that completes the factorization.
\newline
y
3
−
64
=
(
‾
)
(
y
2
+
4
y
+
16
)
y^3 - 64 = (\underline{\hspace{3cm}})(y^2 + 4y + 16)
y
3
−
64
=
(
)
(
y
2
+
4
y
+
16
)
Get tutor help
Find the binomial that completes the factorization.
\newline
t
3
+
64
=
(
‾
)
(
t
2
−
4
t
+
16
)
t^3 + 64 = (\underline{\hspace{3cm}})(t^2 - 4t + 16)
t
3
+
64
=
(
)
(
t
2
−
4
t
+
16
)
Get tutor help
Find the binomial that completes the factorization.
\newline
w
3
−
216
=
(
‾
)
(
w
2
+
6
w
+
36
)
w^3 - 216 = (\underline{\hspace{3em}})(w^2 + 6w + 36)
w
3
−
216
=
(
)
(
w
2
+
6
w
+
36
)
Get tutor help
Find the binomial that completes the factorization.
\newline
q
3
+
r
3
=
(
‾
)
(
q
2
−
q
r
+
r
2
)
q^3 + r^3 = (\underline{\hspace{3cm}})(q^2 - qr + r^2)
q
3
+
r
3
=
(
)
(
q
2
−
q
r
+
r
2
)
Get tutor help
Find the quadratic polynomial that completes the factorization.
\newline
q
3
+
216
=
(
q
+
6
)
(
_
_
_
_
_
)
q^3 + 216 = (q + 6)(\_\_\_\_\_)
q
3
+
216
=
(
q
+
6
)
(
_____
)
Get tutor help
Find the binomial that completes the factorization.
\newline
q
3
+
64
=
(
‾
)
(
q
2
−
4
q
+
16
)
q^3 + 64 = (\underline{\hspace{3em}})(q^2 - 4q + 16)
q
3
+
64
=
(
)
(
q
2
−
4
q
+
16
)
Get tutor help
Find the binomial that completes the factorization.
\newline
u
3
+
27
=
(
‾
)
(
u
2
−
3
u
+
9
)
u^3 + 27 = (\underline{\hspace{3cm}})(u^2 - 3u + 9)
u
3
+
27
=
(
)
(
u
2
−
3
u
+
9
)
Get tutor help
Find
x
x
x
.
\newline
−
x
−
8
+
14
x
=
−
34
-x - 8 + 14x = -34
−
x
−
8
+
14
x
=
−
34
Get tutor help
Use the Quadratic Formula to solve the quadratic below.
\newline
x
2
−
5
x
+
9
=
0
x^{2}-5 x+9=0
x
2
−
5
x
+
9
=
0
Get tutor help
3.4
y
−
5.2
−
3
y
=
2
3.4 y-5.2-3 y=2
3.4
y
−
5.2
−
3
y
=
2
Get tutor help
Evaluate.
\newline
100
−
10
(
25
−
5
)
\sqrt{100}-10(\sqrt{25}-5)
100
−
10
(
25
−
5
)
Get tutor help
Which expression is the result of factoring the expression below by taking out its greatest common factor?
\newline
12
x
2
+
8
=
?
12x^{2}+8=?
12
x
2
+
8
=
?
\newline
Choose
1
1
1
answer:
\newline
(A)
2
(
6
x
+
4
)
2(6x+4)
2
(
6
x
+
4
)
\newline
(B)
4
(
3
x
2
+
2
)
4(3x^{2}+2)
4
(
3
x
2
+
2
)
\newline
(C)
2
(
6
x
2
+
4
)
2(6x^{2}+4)
2
(
6
x
2
+
4
)
\newline
(D)
4
(
3
x
+
2
)
4(3x+2)
4
(
3
x
+
2
)
Get tutor help
y
2
−
1
5
=
2
−
y
3
\frac{y}{2} - \frac{1}{5} = 2 - \frac{y}{3}
2
y
−
5
1
=
2
−
3
y
Get tutor help
Find the smallest number by which each of the following numbers should be multiplied so as to get a perfect square. Also, find the square root of the perfect square thus obtained. a)
3072
3072
3072
b)
4802
4802
4802
c)
1452
1452
1452
d)
845
845
845
Get tutor help
Factor each completely.
\newline
x
2
+
x
−
12
x^{2}+x-12
x
2
+
x
−
12
Get tutor help
2
x
2
+
3
x
−
8
2x^2+3x-8
2
x
2
+
3
x
−
8
when
x
=
−
4
x= -4
x
=
−
4
Get tutor help
7
x
−
18
=
3
7x-18 = 3
7
x
−
18
=
3
Get tutor help
106
=
37
r
106=\frac{37}{r}
106
=
r
37
Get tutor help
Which equation shows the associative property of multiplication?
\newline
Choices:
\newline
(A)
g
⋅
(
h
⋅
j
)
=
(
g
⋅
h
)
⋅
j
g \cdot (h \cdot j) = (g \cdot h) \cdot j
g
⋅
(
h
⋅
j
)
=
(
g
⋅
h
)
⋅
j
\newline
(B)
g
=
g
⋅
1
g = g \cdot 1
g
=
g
⋅
1
\newline
(C)
g
⋅
1
=
g
g \cdot 1 = g
g
⋅
1
=
g
\newline
(D)
0
=
g
⋅
0
0 = g \cdot 0
0
=
g
⋅
0
Get tutor help
Determine the center and radius of the circle represented by the equation
(
x
+
20
)
2
+
(
y
−
30
)
2
=
225
(x+20)^2+(y-30)^2=225
(
x
+
20
)
2
+
(
y
−
30
)
2
=
225
Get tutor help
Find the solutions of the quadratic equation.
\newline
x
2
+
2
x
−
50
=
−
2
x^{2}+2x-50=-2
x
2
+
2
x
−
50
=
−
2
Get tutor help
Complete each factored form.
\newline
5
x
2
+
22
x
+
8
=
(
5
x
+
2
)
(
)
5x^{2}+22x+8=(5x+2)(\quad)
5
x
2
+
22
x
+
8
=
(
5
x
+
2
)
(
)
Get tutor help
Prove the identity.
\newline
(
sin
x
+
cos
x
)
2
=
1
+
sin
2
x
(\sin x+\cos x)^{2}=1+\sin 2x
(
sin
x
+
cos
x
)
2
=
1
+
sin
2
x
Get tutor help
lim
x
→
2
x
3
−
2
x
2
x
2
−
4
=
\lim _{x \rightarrow 2} \frac{x^{3}-2 x^{2}}{x^{2}-4}=
lim
x
→
2
x
2
−
4
x
3
−
2
x
2
=
Get tutor help
Divide the polynomials.
\newline
Your answer should be a polynomial.
\newline
x
2
−
12
x
+
20
x
−
10
=
\frac{x^{2}-12 x+20}{x-10}=
x
−
10
x
2
−
12
x
+
20
=
Get tutor help
Divide the polynomials.
\newline
Your answer should be a polynomial.
\newline
x
2
+
7
x
+
10
x
+
2
=
\frac{x^{2}+7 x+10}{x+2}=
x
+
2
x
2
+
7
x
+
10
=
Get tutor help
Divide the polynomials.
\newline
Your answer should be a polynomial.
\newline
x
2
+
6
x
+
9
x
+
3
=
\frac{x^{2}+6 x+9}{x+3}=
x
+
3
x
2
+
6
x
+
9
=
Get tutor help
Divide the polynomials.
\newline
Your answer should be a polynomial.
\newline
x
2
−
x
−
12
x
+
3
=
\frac{x^{2}-x-12}{x+3}=
x
+
3
x
2
−
x
−
12
=
Get tutor help
Divide the polynomials.
\newline
Your answer should be a polynomial.
\newline
x
2
−
9
x
−
3
=
\frac{x^{2}-9}{x-3}=
x
−
3
x
2
−
9
=
Get tutor help
Divide the polynomials.
\newline
Your answer should be a polynomial.
\newline
x
2
−
49
x
+
7
=
\frac{x^{2}-49}{x+7}=
x
+
7
x
2
−
49
=
Get tutor help
Divide the polynomials.
\newline
Your answer should be a polynomial.
\newline
x
2
+
10
x
+
25
x
+
5
=
\frac{x^{2}+10 x+25}{x+5}=
x
+
5
x
2
+
10
x
+
25
=
Get tutor help
Divide the polynomials. Your answer should be a polynomial.
\newline
x
2
−
36
x
−
6
=
□
\frac{x^{2}-36}{x-6}=\square
x
−
6
x
2
−
36
=
□
Get tutor help
Divide the polynomials.
\newline
Your answer should be a polynomial.
\newline
x
2
−
2
x
+
1
x
−
1
=
\frac{x^{2}-2 x+1}{x-1}=
x
−
1
x
2
−
2
x
+
1
=
Get tutor help
Divide the polynomials. Your answer should be a polynomial.
\newline
x
2
+
x
−
6
x
+
3
=
\frac{x^{2}+x-6}{x+3}=
x
+
3
x
2
+
x
−
6
=
Get tutor help
Divide the polynomials.
\newline
Your answer should be a polynomial.
\newline
x
2
−
7
x
+
12
x
−
3
=
\frac{x^{2}-7 x+12}{x-3}=
x
−
3
x
2
−
7
x
+
12
=
Get tutor help
Divide the polynomials.
\newline
Your answer should be a polynomial.
\newline
x
2
+
2
x
−
3
x
−
1
=
\frac{x^{2}+2 x-3}{x-1}=
x
−
1
x
2
+
2
x
−
3
=
Get tutor help
Divide the polynomials. Your answer should be a polynomial.
\newline
x
2
−
3
x
−
10
x
−
5
=
\frac{x^{2}-3 x-10}{x-5}=
x
−
5
x
2
−
3
x
−
10
=
Get tutor help
Divide the polynomials.
\newline
Your answer should be a polynomial.
\newline
x
2
−
8
x
+
16
x
−
4
=
\frac{x^{2}-8 x+16}{x-4}=
x
−
4
x
2
−
8
x
+
16
=
Get tutor help
1
2
Next
