Factor the expression completely. -90x^(2)+20x^(4) Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression -90x^(2)+20x^(4). The GCF of -90 and 20 is 10, and the GCF of x^2 and x^4 is x^2.Factor out GCF: Factor out the GCF from the expression. -90x^(2)+20x^(4) = 10x^2(-9 + 2x^2)Further Factoring: Look for any further factoring possibilities within the parentheses. The expression inside the parentheses is a quadratic expression that can be factored further. -9 + 2x^2 can be rewritten as 2x^2 - 9, which is a difference of squares.Factor Difference of Squares: Factor the difference of squares. 2x^2 - 9 can be factored as (sqrt(2)x + 3)(sqrt(2)x - 3), where sqrt(2) is the square root of 2.Combine Factored Parts: Combine the factored parts to write the final factored expression. 10x^2(-9 + 2x^2) = 10x^2(sqrt(2)x + 3)(sqrt(2)x - 3)

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Factor the expression completely.

-90x^(2)+20x^(4)
Answer:

Factor the expression completely. $\newline$ $-90 x^{2}+20 x^{4}$ $\newline$ Answer:

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Algebra 2

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Q. Factor the expression completely.

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-90 x^{2}+20 x^{4}

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Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression $-90x^{2}+20x^{4}$ . $\newline$ The GCF of $-90$ and $20$ is $10$ , and the GCF of $x^2$ and $x^4$ is $x^2$ .
Factor out GCF: Factor out the GCF from the expression. $\newline$ $-90x^{2}+20x^{4} = 10x^2(-9 + 2x^2)$
Further Factoring: Look for any further factoring possibilities within the parentheses. $\newline$ The expression inside the parentheses is a quadratic expression that can be factored further. $\newline$ $-9 + 2x^2$ can be rewritten as $2x^2 - 9$ , which is a difference of squares.
Factor Difference of Squares: Factor the difference of squares. $\newline$ $2x^2 - 9$ can be factored as $(\sqrt{2}x + 3)(\sqrt{2}x - 3)$ , where $\sqrt{2}$ is the square root of $2$ .
Combine Factored Parts: Combine the factored parts to write the final factored expression. $\newline$ $10x^2(-9 + 2x^2) = 10x^2(\sqrt{2}x + 3)(\sqrt{2}x - 3)$