How do you factor $5 x^{2} (x - 10) + (x - 10)$ $5x^2(x - 10) + (x - 10)$ ?

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How do you factor $5 x^{2} (x - 10) + (x - 10)$ $5x^2(x - 10) + (x - 10)$ ?

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Answer 1 · 2017-10-12T08:47:12

$(x - 10) (5 x^{2} + 1)$ $(x-10)(5x^2+1)$

Explanation:

$take out the common factor of (x - 10)$ $"take out the "color(blue)"common factor"" of "(x-10)$

$\Rightarrow 5 x^{2} (x - 10) + 1 (x - 10)$ $rArrcolor(red)(5x^2)(x-10)color(red)(+1)(x-10)$

$= (x - 10) (5 x^{2} + 1)$ $=(x-10)(color(red)(5x^2+1))$

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How do you factor $5 x^{2} (x - 10) + (x - 10)$ $5x^2(x - 10) + (x - 10)$ ?

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