What is the right answer ?

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What is the right answer ?

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Answer 1 · 2018-03-03T14:37:17

$4 x^{2} - 7 x + 16$ $4x^2-7x+16$

Explanation:

Let's expand the quadratic.

${(x + 4)}^{2} + 3 x (x - 5) = x^{2} + 8 x + 16 + 3 x^{2} - 15 x$ $color(red)((x+4)^2)color(blue)(+3x(x-5))=color(red)(x^2+8x+16)color(blue)(+3x^2-15x)$

Add like terms

$x^{2} + 8 x + 16 + 3 x^{2} - 15 x = 4 x^{2} - 7 x + 16$ $color(green)(x^2)+color(purple)(8x)+16+color(green)(3x^2)color(purple)(-15x)=color(green)(4x^2)color(purple)(-7x)+16$

$= E$ $=E$

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