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

Jul 31, 2015

=color(blue)(2x^3+3x^2 −10x +40

#### Explanation:

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