How do you multiply $(2x^2 - 5x +10)(x+4)$ ?

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Answer 1 · 2015-07-31T03:37:18

$=color(blue)(2x^3+3x^2 −10x +40$

$color(blue)((2x^2−5x+10))(x+4)$

Each of the three terms within the first bracket need to be multiplied with both terms of the second bracket.

$=color(blue)((2x^2−5x+10))(x) +color(blue)((2x^2−5x+10))(4)$

$=2x^3−5x^2+10x +8x^2−20x+40$

grouping like terms

$=2x^3+(8x^2−5x^2)+(10x −20x)+40$

$=color(blue)(2x^3+3x^2 −10x +40$

How do you multiply (2x^2 - 5x +10)(x+4)(2x^2 - 5x +10)(x+4)?