How do you simplify 3(x^2 - 2x + 6) - 7(x^2 + 9x - 5)?

1 Answer
Don't Memorise
Dec 2, 2015

=color(blue)(-4x^2 -69x + 53

Explanation:

color(blue)(3) * (x^2-2x+6) - color(green)(7)*(x^2+9x-5)

=color(blue)(3) * (x^2) +color(blue)(3) * (-2x)+ color(blue)(3) * (6) - color(green)(7) * (x^2) + color(green)((-7)) * (9x) + color(green)((-7)) * (-5)

=3x^2 -6x+ 18-7x^2 -63x + 35

=color(blue)((3x^2-7x^2)) -63x -6x + color(blue)((18+ 35)

=color(blue)(-4x^2 -69x + 53

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