How do you factor $25 x^{2} - 40 x y + 16 y z$ $25x^2 - 40xy + 16yz$ ?

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How do you factor $25 x^{2} - 40 x y + 16 y z$ $25x^2 - 40xy + 16yz$ ?

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Answer 1 · 2016-05-02T08:28:12

$25 x^{2} - 40 x y + 16 y^{2}$ $25x^2-40xy+16y^2$
$= 25 x^{2} - 20 x y - 20 x y + 16 y^{2}$ $=25x^2-20xy-20xy+16y^2$
$= 5 x (5 x - 4 y) - 4 y (5 x - 4 y)$ $=5x(5x-4y)-4y(5x-4y)$
$= {(5 x - 4 y)}^{2}$ $=(5x-4y)^2$

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How do you factor $25 x^{2} - 40 x y + 16 y z$ $25x^2 - 40xy + 16yz$ ?

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How do you factor $25 x^{2} - 40 x y + 16 y z$ $25x^2 - 40xy + 16yz$ ?