How do you multiply $(x+5)(2x^2+x-10)$ ?

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Answer 1 · 2015-06-25T08:11:23

$= color(blue)(2x^3 + 11x^2 - 5x -50$

$color(blue)((x+5))(2x^2 + x - 10)$

Here, we first multiply $color(blue)(x)$ contained in the first bracket with all three terms of second bracket:

$= color(blue)(x).(2x^2) + color(blue)(x) . x + color(blue)(x) . (-10)$

$= 2x^3 + x^2 -10x$ ........................ $(1)$

Now, we multiply $color(blue)(5)$ contained in the first bracket with all three terms of second bracket:

$= color(blue)(5).(2x^2) + color(blue)(5) . x + color(blue)(5) . (-10)$

$= 10x^2 + 5x -50$ ......................... $(2)$

combining $(1)$ and $(2)$

$= color(blue)(2x^3 + 11x^2 - 5x -50$

How do you multiply (x+5)(2x^2+x-10)(x+5)(2x^2+x-10)?