## Related questions with answers

Question

For the following exercises, factor the polynomial. $m^{2}-20 m+100$

Solution

VerifiedStep 1

1 of 2Perfect square trinomials occur when the polynomial is a trinomial, and where the first and last terms are perfect squares and the middle term is equivalent to 2 times the product of the first and last term's square root.

$\begin{align*} & m^{2}-20m+100\\\\ & (m)^{2}-2\cdot m \cdot 10+(10)^2 && \text{{\color{#c34632}Perfect square trinomial}}\\\\ & (m-10)^{2} && \text{{\color{#c34632}Use the formula $a^{2}{\color{#4257b2}\pm} 2ab+b^{2}=(a{\color{#4257b2}\pm} b)^{2}$}}\\\\ \end{align*}$

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