How do you multiply $(2x-3)(x^2+5x-3)$ ?

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Answer 1 · 2015-08-05T13:43:05

$=color(blue)(2x^3 +7x^2 -21x +9$

$color(blue)((2x−3))(x^2+5x−3)$

Each term within the first bracket needs to be multiplied with each of the three terms within the second bracket.

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

$=2x^3+10x^2-6x - 3x^2 -15x +9$

Grouping like terms

$=2x^3 +(10x^2 - 3x^2) + (-6x -15x) +9$

$=color(blue)(2x^3 +7x^2 -21x +9$

How do you multiply (2x-3)(x^2+5x-3)(2x-3)(x^2+5x-3)?