How do you factor by grouping $64 p^{2} - 100 m^{2}$ $64p^2-100m^2$ ?

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How do you factor by grouping $64 p^{2} - 100 m^{2}$ $64p^2-100m^2$ ?

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Answer 1 · 2018-04-24T21:48:46

$4 (4 p - 5 m) (4 p + 5 m)$ $4(4p-5m)(4p+5m)$

Explanation:

$take out a common factor 4$ $"take out a "color(blue)"common factor "4$

$= 4 (16 p^{2} - 25 m^{2})$ $=4(16p^2-25m^2)$

$16 p^{2} - 25 m^{2} is a difference of squares$ $16p^2-25m^2" is a "color(blue)"difference of squares"$

$which factors in general as$ $"which factors in general as"$

$∙ x a^{2} - b^{2} = (a - b) (a + b)$ $•color(white)(x)a^2-b^2=(a-b)(a+b)$

$16 p^{2} = {(4 p)}^{2} and 25 m^{2} = {(5 m)}^{2}$ $16p^2=(4p)^2" and "25m^2=(5m)^2$

$here a = 4 p and b = 5 m$ $"here "a=4p" and "b=5m$

$\Rightarrow 16 p^{2} - 25 m^{2} = (4 p - 5 m) (4 p + 5 m)$ $rArr16p^2-25m^2=(4p-5m)(4p+5m)$

$\Rightarrow 64 p^{2} - 100 m^{2} = 4 (4 p - 5 m (4 p + 5 m)$ $rArr64p^2-100m^2=4(4p-5m(4p+5m)$

$note factoring by grouping is not the approach here$ $"note factoring by grouping is not the approach here"$

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How do you factor by grouping $64 p^{2} - 100 m^{2}$ $64p^2-100m^2$ ?

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How do you factor by grouping 64p2−100m264p^2-100m^2?

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How do you factor by grouping $64 p^{2} - 100 m^{2}$ $64p^2-100m^2$ ?