How do you simplify $(2x+1)(x-7)$ ?

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Answer 1 · 2015-12-14T16:23:20

$color(green)("A slightly different way of looking at how to solve it:")$

$2x^2-13x-7$

Given: $color(brown)((color(blue)(2x+1))(x-7)$

$color(brown)(color(blue)(2x)(x-7)color(blue)(+1)(x-7)$

Consider each part:

$color(brown)(color(blue)(2x)(x-7)) -> 2x^2-14x$

$color(brown)(color(blue)(+1)(x-7)) ->+ x-7$

Putting them together gives:

$2x^2-14x+x-7$

$2x^2-13x-7$

How do you simplify (2x+1)(x-7)(2x+1)(x-7)?