Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
4
(
2
+
3
)
+
5
(
4
−
2
)
4(2+3)+5(4-2)
4
(
2
+
3
)
+
5
(
4
−
2
)
View step-by-step help
Home
Math Problems
Algebra 1
Add and subtract polynomials
Full solution
Q.
4
(
2
+
3
)
+
5
(
4
−
2
)
4(2+3)+5(4-2)
4
(
2
+
3
)
+
5
(
4
−
2
)
Apply Distributive Property:
First, we need to apply the
distributive property
to both terms in the expression.
\newline
4
(
2
+
3
)
+
5
(
4
−
2
)
=
4
×
2
+
4
×
3
+
5
×
4
−
5
×
2
4(2+3) + 5(4-2) = 4\times 2 + 4\times 3 + 5\times 4 - 5\times 2
4
(
2
+
3
)
+
5
(
4
−
2
)
=
4
×
2
+
4
×
3
+
5
×
4
−
5
×
2
Perform Multiplication:
Now, we perform the multiplication for each term.
\newline
4
×
2
=
8
4 \times 2 = 8
4
×
2
=
8
\newline
4
×
3
=
12
4 \times 3 = 12
4
×
3
=
12
\newline
5
×
4
=
20
5 \times 4 = 20
5
×
4
=
20
\newline
5
×
2
=
10
5 \times 2 = 10
5
×
2
=
10
\newline
So, the expression becomes
8
+
12
+
20
−
10
8 + 12 + 20 - 10
8
+
12
+
20
−
10
.
Add and Subtract Numbers:
Next, we add and subtract the numbers in the expression.
8
+
12
+
20
−
10
=
20
+
20
−
10
8 + 12 + 20 - 10 = 20 + 20 - 10
8
+
12
+
20
−
10
=
20
+
20
−
10
Combine Remaining Terms:
Finally, we combine the remaining terms to find the result.
20
+
20
−
10
=
40
−
10
=
30
20 + 20 - 10 = 40 - 10 = 30
20
+
20
−
10
=
40
−
10
=
30
More problems from Add and subtract 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