Identify Terms: Identify like terms and common factors in the expression. -9x^(3) and 72x^(5) do not have like terms, but they both have x terms which can be factored if necessary.Check Common Factor: Check if the expression can be factored by taking out a common factor. Both terms have a common factor of x^(3).Factor Out: Factor out the common factor of x^(3) from both terms. x^(3)(-9 + 72x^(2))Simplify Inside Parentheses: Simplify the expression inside the parentheses. -9 + 72x^(2) simplifies to -9 + 72x^2 since there are no like terms to combine.Write Final Expression: Write the final simplified expression. The final simplified expression is x^(3)(-9 + 72x^2).

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$-9 x^{3}+72 x^{5}$

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Math Problems

Algebra 1

Evaluate integers raised to rational exponents

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-9 x^{3}+72 x^{5}

Identify Terms: Identify like terms and common factors in the expression. $\newline$ $-9x^{3}$ and $72x^{5}$ do not have like terms, but they both have $x$ terms which can be factored if necessary.
Check Common Factor: Check if the expression can be factored by taking out a common factor. $\newline$ Both terms have a common factor of $x^{3}$ .
Factor Out: Factor out the common factor of $x^{3}$ from both terms. $\newline$ $x^{3}(-9 + 72x^{2})$
Simplify Inside Parentheses: Simplify the expression inside the parentheses. $\newline$ $-9 + 72x^{2}$ simplifies to $-9 + 72x^2$ since there are no like terms to combine.
Write Final Expression: Write the final simplified expression. $\newline$ The final simplified expression is $x^{3}(-9 + 72x^{2})$ .