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Welcome to Bytelearn!
Let’s check out your problem:
Find the product. Simplify your answer.
\newline
(
−
9
w
2
)
(
−
7
w
3
)
(-9w^2)(-7w^3)
(
−
9
w
2
)
(
−
7
w
3
)
View step-by-step help
Home
Math Problems
Algebra 2
Multiply polynomials
Full solution
Q.
Find the product. Simplify your answer.
\newline
(
−
9
w
2
)
(
−
7
w
3
)
(-9w^2)(-7w^3)
(
−
9
w
2
)
(
−
7
w
3
)
Identify and Distribute:
Identify the expression and use the
distributive property
to multiply the two monomials.
\newline
(
−
9
w
2
)
(
−
7
w
3
)
=
(
−
9
×
−
7
)
(
w
2
×
w
3
)
(-9w^2)(-7w^3) = (-9 \times -7)(w^2 \times w^3)
(
−
9
w
2
)
(
−
7
w
3
)
=
(
−
9
×
−
7
)
(
w
2
×
w
3
)
Calculate Coefficients:
Calculate the product of the coefficients.
\newline
−
9
×
−
7
=
63
-9 \times -7 = 63
−
9
×
−
7
=
63
Apply Exponent Rule:
Apply the product rule for exponents (add the exponents when multiplying like bases).
\newline
w
2
×
w
3
=
w
(
2
+
3
)
=
w
5
w^2 \times w^3 = w^{(2+3)} = w^5
w
2
×
w
3
=
w
(
2
+
3
)
=
w
5
Combine Results:
Combine the results from the previous steps to get the final simplified product.
63
w
5
63w^5
63
w
5
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
____
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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
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