How do you simplify $(- 18 x^{2} + 7 x - 14) - (- 20 x^{2} + 17 x - 12)$ $(-18x^2 + 7x - 14) - (-20x^2 + 17x - 12)$ ?

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Answer 1 · 2015-06-08T11:31:48

$(- 18 x^{2} + 7 x - 14) - (- 20 x^{2} + 17 x - 12)$ $(-18x^2 +7x -14) - (-20x^2 +17x -12)$

$= - 18 x^{2} + 7 x - 14 + 20 x^{2} - 17 x + 12$ $= -18x^2 +7x -14 +20x^2 -17x +12$

Here, we will first group like terms:

$= (- 18 x^{2} + 20 x^{2}) + (7 x - 17 x) + (- 14 + 12)$ $=color(blue)((-18x^2 +20x^2)) + color(red)((7x - 17x)) +color(green)((-14+12))$

$= 2 x^{2} - 10 x - 2$ $=color(blue)(2x^2) color(red)(-10x) -color(green)(2)$

How do you simplify (−18x2+7x−14)−(−20x2+17x−12)(-18x^2 + 7x - 14) - (-20x^2 + 17x - 12)?