Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Find the square. Simplify your answer.
\newline
(
g
+
2
)
2
(g + 2)^2
(
g
+
2
)
2
View step-by-step help
Home
Math Problems
Algebra 1
Multiply polynomials
Full solution
Q.
Find the square. Simplify your answer.
\newline
(
g
+
2
)
2
(g + 2)^2
(
g
+
2
)
2
Expand Binomials:
To find the square of
(
g
+
2
)
(g + 2)
(
g
+
2
)
, we need to multiply
(
g
+
2
)
(g + 2)
(
g
+
2
)
by itself.
\newline
(
g
+
2
)
2
=
(
g
+
2
)
(
g
+
2
)
(g + 2)^2 = (g + 2)(g + 2)
(
g
+
2
)
2
=
(
g
+
2
)
(
g
+
2
)
Distribute First Term:
Distribute the first term of the first binomial across the second binomial.
\newline
(
g
+
2
)
(
g
+
2
)
=
g
(
g
+
2
)
+
2
(
g
+
2
)
(g + 2)(g + 2) = g(g + 2) + 2(g + 2)
(
g
+
2
)
(
g
+
2
)
=
g
(
g
+
2
)
+
2
(
g
+
2
)
Multiply
g
g
g
:
Multiply
g
g
g
by each term in the second binomial.
g
(
g
+
2
)
=
g
2
+
2
g
g(g + 2) = g^2 + 2g
g
(
g
+
2
)
=
g
2
+
2
g
Multiply
2
2
2
:
Multiply
2
2
2
by each term in the second binomial.
\newline
2
(
g
+
2
)
=
2
g
+
4
2(g + 2) = 2g + 4
2
(
g
+
2
)
=
2
g
+
4
Combine Results:
Combine the results from the previous two steps.
\newline
(
g
2
+
2
g
)
+
(
2
g
+
4
)
=
g
2
+
2
g
+
2
g
+
4
(g^2 + 2g) + (2g + 4) = g^2 + 2g + 2g + 4
(
g
2
+
2
g
)
+
(
2
g
+
4
)
=
g
2
+
2
g
+
2
g
+
4
Combine Like Terms:
Combine like terms.
g
2
+
2
g
+
2
g
+
4
=
g
2
+
4
g
+
4
g^2 + 2g + 2g + 4 = g^2 + 4g + 4
g
2
+
2
g
+
2
g
+
4
=
g
2
+
4
g
+
4
More problems from Multiply polynomials
Question
Find the degree of this polynomial.
\newline
`5b^{10} + 3b^3`
\newline
_______
Get tutor help
Posted 5 months ago
Question
Subtract.
\newline
(
9
a
+
5
)
−
(
2
a
+
4
)
(9a + 5) - (2a + 4)
(
9
a
+
5
)
−
(
2
a
+
4
)
\newline
____
Get tutor help
Posted 5 months ago
Question
Find the product. Simplify your answer.
\newline
−
3
v
2
(
v
2
−
9
)
-3v^2(v^2 - 9)
−
3
v
2
(
v
2
−
9
)
\newline
________
Get tutor help
Posted 5 months ago
Question
Find the product. Simplify your answer.
\newline
(
v
−
3
)
(
4
v
+
1
)
(v - 3)(4v + 1)
(
v
−
3
)
(
4
v
+
1
)
\newline
______
Get tutor help
Posted 5 months ago
Question
Find the square. Simplify your answer.
\newline
(
3
y
+
2
)
2
(3y + 2)^2
(
3
y
+
2
)
2
\newline
______
Get tutor help
Posted 5 months ago
Question
Divide. If there is a remainder, include it as a simplified fraction.
\newline
(
24
t
2
+
36
t
)
÷
6
t
(24t^2 + 36t) \div 6t
(
24
t
2
+
36
t
)
÷
6
t
\newline
______
Get tutor help
Posted 5 months ago
Question
Is the function
q
(
x
)
=
x
6
−
9
q(x) = x^6 - 9
q
(
x
)
=
x
6
−
9
even, odd, or neither?
\newline
Choices:
\newline
[[even][odd][neither]]
\text{[[even][odd][neither]]}
[[even][odd][neither]]
Get tutor help
Posted 9 months ago
Question
Find the product. Simplify your answer.
\newline
−
3
q
2
(
−
3
q
2
+
q
)
-3q^2(-3q^2 + q)
−
3
q
2
(
−
3
q
2
+
q
)
\newline
______
Get tutor help
Posted 9 months ago
Question
Find the product. Simplify your answer.
\newline
(
r
+
3
)
(
4
r
+
2
)
(r + 3)(4r + 2)
(
r
+
3
)
(
4
r
+
2
)
\newline
______
Get tutor help
Posted 9 months ago
Question
Find the roots of the factored polynomial.
\newline
(
x
+
7
)
(
x
+
4
)
(x + 7)(x + 4)
(
x
+
7
)
(
x
+
4
)
\newline
Write your answer as a list of values separated by commas.
\newline
x
=
x =
x
=
____
Get tutor help
Posted 9 months ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant