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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