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Factor the expression completely.

20x^(3)-10x^(2)
Answer:

Factor the expression completely. $\newline$ $20 x^{3}-10 x^{2}$ $\newline$ Answer:

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Evaluate rational exponents

Full solution

Q. Factor the expression completely.

\newline

20 x^{3}-10 x^{2}

\newline

Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression $20x^3 - 10x^2$ . The GCF of $20x^3$ and $10x^2$ is $10x^2$ , since $10$ is the largest number that divides both $20$ and $10$ , and $x^2$ is the highest power of $x$ that is a factor of both $x^3$ and $x^2$ .
Factor Out GCF: Factor out the GCF from the expression. $\newline$ We can write the expression as $10x^2(2x - 1)$ , where $2x - 1$ is what remains after factoring out $10x^2$ from each term. $\newline$ Calculation: $\frac{20x^3}{10x^2} = 2x$ and $\frac{10x^2}{10x^2} = 1$ , so the factored form is $10x^2(2x - 1)$ .

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