Simplify the expression completely if possible. (8x^(2))/(x^(4)+8x^(3)) Answer:

Factor GCF from denominator: Factor out the greatest common factor from the denominator. The greatest common factor in the denominator x^(4)+8x^(3) is x^(3). Factor out x^(3) from the denominator. x^(4)+8x^(3) = x^(3)(x+8)Rewrite with factored denominator: Rewrite the original expression with the factored denominator. The original expression (8x^(2))/(x^(4)+8x^(3)) becomes (8x^(2))/(x^(3)(x+8)).Simplify by canceling factors: Simplify the expression by canceling out common factors. The term 8x^(2) in the numerator and x^(3) in the denominator have a common factor of x^(2). Cancel out x^(2) from the numerator and denominator. (8x^(2))/(x^(3)(x+8)) = 8/(x(x+8))Check for further simplification: Check if further simplification is possible. The expression 8/(x(x+8)) cannot be simplified further because there are no common factors left to cancel out.

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Simplify the expression completely if possible.

(8x^(2))/(x^(4)+8x^(3))
Answer:

Simplify the expression completely if possible. $\newline$ $\frac{8 x^{2}}{x^{4}+8 x^{3}}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

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Q. Simplify the expression completely if possible.

\newline

\frac{8 x^{2}}{x^{4}+8 x^{3}}

\newline

Answer:

Factor GCF from denominator: Factor out the greatest common factor from the denominator. $\newline$ The greatest common factor in the denominator $x^{4}+8x^{3}$ is $x^{3}$ . $\newline$ Factor out $x^{3}$ from the denominator. $\newline$ $x^{4}+8x^{3} = x^{3}(x+8)$
Rewrite with factored denominator: Rewrite the original expression with the factored denominator. $\newline$ The original expression $(8x^{2})/(x^{4}+8x^{3})$ becomes $(8x^{2})/(x^{3}(x+8))$ .
Simplify by canceling factors: Simplify the expression by canceling out common factors. The term $8x^{2}$ in the numerator and $x^{3}$ in the denominator have a common factor of $x^{2}$ . Cancel out $x^{2}$ from the numerator and denominator. $\frac{8x^{2}}{x^{3}(x+8)} = \frac{8}{x(x+8)}$
Check for further simplification: Check if further simplification is possible. $\newline$ The expression $\frac{8}{x(x+8)}$ cannot be simplified further because there are no common factors left to cancel out.