How do you write #3(x-7)^2-4# in standard form?

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Answer 1 · 2016-03-17T17:37:24

#3x^2-42x+143#

Given expression:#" "3(x-7)^2-4#

This is the same as:

#" "color(brown)(3color(green)((x-7))color(blue)((x-7))-4)#

Which is the same as

#" "color(brown)(3[color(white)(.)color(green)(x)color(blue)((x-7))color(green)(-7)color(blue)((x-7))color(white)(.)]-4) #

#3[ x^2-7x-7x+49 ] -4#

#3[ x^2-14x+49 ] -4#

#3x^2-42x+147 -4#

#3x^2-42x+143#