Answer to Question #347681 in Calculus for Stella

Question #347681

If f(x)= x(x+1), show that f(x +h)- f(x) = h(2x+1+h).

Expert's answer

"f(x + h) - f(x) = (x + h)(x + h + 1) - x(x + 1) = {x^2} + hx + hx + {h^2} + x + h - {x^2} - x = 2hx + {h^2} + h = h(2x + h + 1)"

Q.E.D.

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