Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Find the product. Simplify your answer.
\newline
(
3
u
+
1
)
(
4
u
+
1
)
(3u + 1)(4u + 1)
(
3
u
+
1
)
(
4
u
+
1
)
View step-by-step help
Home
Math Problems
Algebra 1
Multiply polynomials
Full solution
Q.
Find the product. Simplify your answer.
\newline
(
3
u
+
1
)
(
4
u
+
1
)
(3u + 1)(4u + 1)
(
3
u
+
1
)
(
4
u
+
1
)
Perform Multiplication:
Now, we will perform the multiplication for each term.
\newline
3
u
×
4
u
=
12
u
2
3u \times 4u = 12u^2
3
u
×
4
u
=
12
u
2
\newline
3
u
×
1
=
3
u
3u \times 1 = 3u
3
u
×
1
=
3
u
\newline
1
×
4
u
=
4
u
1 \times 4u = 4u
1
×
4
u
=
4
u
\newline
1
×
1
=
1
1 \times 1 = 1
1
×
1
=
1
Add Products:
Next, we will add all the products together to get the simplified expression.
12
u
2
+
3
u
+
4
u
+
1
12u^2 + 3u + 4u + 1
12
u
2
+
3
u
+
4
u
+
1
Combine Like Terms:
We will combine like terms
3
u
3u
3
u
and
4
u
4u
4
u
to further simplify the expression.
12
u
2
+
(
3
u
+
4
u
)
+
1
=
12
u
2
+
7
u
+
1
12u^2 + (3u + 4u) + 1 = 12u^2 + 7u + 1
12
u
2
+
(
3
u
+
4
u
)
+
1
=
12
u
2
+
7
u
+
1
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