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Multiply.

x^(2)(-3x^(2)+7x)
Answer:

Multiply. $\newline$ $x^{2}\left(-3 x^{2}+7 x\right)$ $\newline$ Answer:

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Evaluate rational exponents

Full solution

Q. Multiply.

\newline

x^{2}\left(-3 x^{2}+7 x\right)

\newline

Answer:

Distribute $x^{2}$ : Distribute $x^{2}$ to each term inside the parentheses. $\newline$ We will use the distributive property $a(b + c) = ab + ac$ to multiply $x^{2}$ with each term inside the parentheses. $\newline$ $x^{2} * (-3x^{2}) + x^{2} * (7x)$
Multiply terms: Multiply the terms. $\newline$ When multiplying powers with the same base, we add the exponents. $\newline$ $x^{2} \times (-3x^{2}) = -3x^{2+2} = -3x^{4}$ $\newline$ $x^{2} \times (7x) = 7x^{2+1} = 7x^{3}$
Combine results: Combine the results from Step $2$ . $\newline$ $-3x^{4} + 7x^{3}$ $\newline$ This is the simplified form of the expression after distributing and multiplying.

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