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How do you combine (8x² - 4x - 3) - (-2x - x² + 5)?

1 Answer

Jul 15, 2015

$= 9 x^{2} - 2 x - 8$ $=9x^2-2x -8$

Explanation:

$(8 x^{2} - 4 x - 3) - (- 2 x - x^{2} + 5)$ $(8x^2-4x -3) - (-2x-x^2+5)$

$= 8 x^{2} - 4 x - 3 + 2 x + x^{2} - 5$ $=8x^2-4x -3 +2x+x^2-5$

combining like terms
$= (8 x^{2} + x^{2}) - 4 x + 2 x - 3 - 5$ $=color(blue)((8x^2+x^2)) -color(green)(4x +2x)-3 -5$

$= 9 x^{2} - 2 x - 8$ $=9x^2-2x -8$

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