Simplification
(a-b)²=a²+2ab-b²

I wonder if you have your equation wrong, because(a−b)2=(a−b)(a−b)=a2−ab−ba+b2=a2–2ab+b2

Your equation, on the other hand, is (a+b)2 and that is not equal to (a−b)2 except when ab=0, i.e. when either a or b equals 0, and that is not what we normally mean by “prove”. Prove would imply “for all values of a and b”, which is not the case in the form you have your equation,

hope you undestood what i meant..

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step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1