How do you factor $x (10 x - 7) + 11 (10 x - 7)$ $x(10x - 7) + 11(10x - 7)$ ?

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Answer 1 · 2015-04-10T17:54:52

In general
$a k + b k = (a + b) (k)$ $ak + bk = (a+b)(k)$
(This is the Distributive Rule)

In this case $k$ $k$ is an expression, $(10 x - 7)$ $(10x-7)$ , but the rule still applies

$x (10 x - 7) + 11 (10 x - 7)$ $x(10x-7)+11(10x-7)$

$= (x + 11) (10 x - 7)$ $=(x+11)(10x-7)$

How do you factor x(10x−7)+11(10x−7)x(10x - 7) + 11(10x - 7)?