1

Problem

Solve by using distributive property
\$2x^2 (x^3 + y^3)\$.

2

Step

The given distributive property is

\$2x^2(x^3 + y^3)\$

3

Hint

To solve this expression using the distributive property, you need to distribute \$2x^2\$ to both terms inside the parentheses.

4

Step

Now, let’s simplify each term

\$2x^2 times x^3 + 2x^2 times y^3\$

5

Formula

The exponents: \$a^m times a^n = a^(m +n)\$.

6

Step

Simplify the equation using formula

\$2x^(2 + 3) + 2(x^2) (y^3)\$

7

Step

Make it simplify

\$2x^5 + 2(x^2) y^(3)\$

8

Solution

So, the distributive property of \$2x^2 (x^3 + y^3)\$ is \$2x^5 + 2(x^2)(y^3)\$.

9

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

10

Choice-A

Option A is inaccurate, simplifying \$x^5+2(x^2)(y^3)\$ incorrectly and failing to distribute \$2x^2\$ to \$x^3\$ properly

Wrong \$x^5 + 2(x^2)(y^3)\$

11

Choice-B

Incorrect, the constant term should be \$2(x^2)(y^3)\$, not just \$2(y^3)\$

Wrong \$2x^5 + 2(y^3)\$

12

Choice-C

Correct. This matches the result we derived by properly distributing \$2(x^2)\$ to both terms inside the parentheses

Correct \$2x^5 + 2(x^2)(y^3)\$

13

Choice-D

Wrong, the constant term should be \$2(x^2)(y^3)\$, not just \$y^3\$

Wrong \$x^5 + (y^3)\$

14

Step

Option

C

15

Sumup

Please Summarize Choices