How do you simplify #\frac { ( x + h ) ^ { 2} + 4( x + h ) 7x ^ { 2} - 4x + 7} { h }#?

1 Answer
Jan 13, 2018

#x^2+2hx+h^2+28x^3+28hx^2-4x+7#

Explanation:

#((x+h)^2+4(x+h)7x^2-4x+7)/h#

=#((x+h)(x+h)+(4x+4h)7x^2-4x+7)/h#

=#x^2+hx+hx+h^2+28x^3+28hx^2-4x+7#

=#x^2+2hx+h^2+28x^3+28hx^2-4x+7#

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