How do you factor $25 x^{2} - w^{8}$ $25x^2 - w^8$ ?

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How do you factor $25 x^{2} - w^{8}$ $25x^2 - w^8$ ?

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Answer 1 · 2015-05-27T18:24:16

$25 x^{2} - w^{8}$ $25x^2-w^8$
can be re-written as the difference of squares
${(5 x)}^{2} - {(w^{4})}^{2}$ $(5x)^2 - (w^4)^2$
with factors
$(5 x + w^{4}) (5 x - w^{4})$ $(5x + w^4)(5x-w^4)$

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How do you factor $25 x^{2} - w^{8}$ $25x^2 - w^8$ ?

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