How do you multiply $(2 x - 3) (x + 4)$ $(2x-3)(x+4)$ ?

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How do you multiply $(2 x - 3) (x + 4)$ $(2x-3)(x+4)$ ?

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Answer 1 · 2015-12-31T08:35:43

$= 2 x^{2} + 5 x - 12$ $= color(blue)(2x^2 +5x -12$

Explanation:

$(2 x - 3) (x + 4)$ $color(blue)((2x-3))(x+4)$

Each term of the first bracket is multiplied with each term within the second bracket.

$(2 x) \times (x) + (2 x) \times (4) + (- 3) (x) + (- 3) \times (4)$ $color(blue)((2x) )xx (x) +color(blue)((2x)) xx (4)+ color(blue)((-3))(x)+color(blue)((-3))xx (4)$

$= 2 x^{2} + 8 x - 3 x - 12$ $= 2x^2 +8x -3x -12$

$= 2 x^{2} + 5 x - 12$ $= color(blue)(2x^2 +5x -12$

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How do you multiply $(2 x - 3) (x + 4)$ $(2x-3)(x+4)$ ?

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