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How do you simplify $(5 x - 2) (2 x - 9)$ $(5x-2) (2x-9)$ ?

1 Answer

Jul 25, 2016

$10 x^{2} - 49 x + 18$ $10x^2-49x+18$

Explanation:

Using the distributive property:
$XXX (5 x - 2) (2 x - 9)$ $color(white)("XXX")color(red)(""(5x-2))color(blue)(""(2x-9))$

$XXX = 5 x (2 x - 9) - 2 (2 x - 9)$ $color(white)("XXX")=color(red)(5x)color(blue)(""(2x-9))color(red) (-2)color(blue)(""(2x-9))$

$XXX = 10 x^{2} - 45 x - 4 x + 18$ $color(white)("XXX")=color(green)(10x^2-45x)color(purple)(-4x+18)$

$XXX = 10 x^{2} - 49 x + 18$ $color(white)("XXX")=10x^2-49x+18$

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