Which of the following is equal to x(x^(2)+9) ? Choose 1 answer: (A) x^(2)+x+9 (B) x^(2)+9x (C) x^(3)+9 (D) x^(3)+9x

Distribute x: Distribute x across the terms inside the parentheses. We apply the distributive property: a(b + c) = ab + ac. Here, a = x, b = x^2, and c = 9. So, x(x^2 + 9) = x*x^2 + x*9.Apply distributive property: Simplify the expression. x*x^2 is x raised to the power of (1+2) because when we multiply powers with the same base, we add the exponents. x*x^2 = x^(1+2) = x^3. x*9 is simply 9x. So, x(x^2 + 9) = x^3 + 9x.

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Which of the following is equal to
x(x^(2)+9) ?
Choose 1 answer:
(A)
x^(2)+x+9
(B)
x^(2)+9x
(C)
x^(3)+9
(D)
x^(3)+9x

Which of the following is equal to $x\left(x^{2}+9\right)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $x^{2}+x+9$ $\newline$ (B) $x^{2}+9 x$ $\newline$ (C) $x^{3}+9$ $\newline$ (D) $x^{3}+9 x$

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Q. Which of the following is equal to

x\left(x^{2}+9\right)

\newline

Choose

1

answer:

\newline

(A)

x^{2}+x+9

\newline

(B)

x^{2}+9 x

\newline

(C)

x^{3}+9

\newline

(D)

x^{3}+9 x

Distribute $x$ : Distribute $x$ across the terms inside the parentheses. $\newline$ We apply the distributive property: $a(b + c) = ab + ac$ . $\newline$ Here, $a = x$ , $b = x^2$ , and $c = 9$ . $\newline$ So, $x(x^2 + 9) = x\cdot x^2 + x\cdot 9$ .
Apply distributive property: Simplify the expression. $\newline$ $x \cdot x^2$ is $x$ raised to the power of $(1+2)$ because when we multiply powers with the same base, we add the exponents. $\newline$ $x \cdot x^2 = x^{(1+2)} = x^3$ . $\newline$ $x \cdot 9$ is simply $9x$ . $\newline$ So, $x(x^2 + 9) = x^3 + 9x$ .