Answer
$5x(x-y)(x-7y)$
Work Step by Step
$5x^3-40x^2y+35xy^2=5x(x^2-8xy+7y^2)=5x(x^2-xy-7xy+7y^2)=5x(x(x-y)-7y(x-y))=5x(x-y)(x-7y)$
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