Expand the expression.𝑥 (6 + 𝑥2)A. 6𝑥 + 𝑥2B. 6𝑥 + 𝑥3C. 6𝑥 + 2𝑥2D. 𝑥 × 6 + 𝑥2E. 6𝑥 + 𝑥2 + 𝑥

Question

Expand the expression.

x (6 + x^2)
A. 6x + x^2
B. 6x + x^3
C. 6x + 2x^2
D. x × 6 + x^2
E. 6x + x^2 + x

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Solution

The expression 𝑥 (6 + 𝑥2) can be expanded by using the distributive property of multiplication over addition. This property states that the product of a number and the sum of two or more numbers is equal to the sum of the products of the number and each addend.

Step 1: Distribute 𝑥 to each term inside the parentheses.

= 𝑥 * 6 + 𝑥 * 𝑥2

Step 2: Simplify each term.

= 6𝑥 + 𝑥^3

So, the expanded form of the expression 𝑥 (6 + 𝑥2) is 6𝑥 + 𝑥^3. Therefore, the correct answer is B. 6𝑥 + 𝑥3.

This problem has been solved

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