Simplify ((2+h)^2-2^2)/h

Problem

((2+h)^2−2^2)/h

Solution

1. Expand the squared binomial (2+h)^2 using the formula (a+b)^2=a^2+2*a*b+b^2

(4+4*h+h^2−2^2)/h

2. Evaluate the constant term 2^2 in the numerator.

(4+4*h+h^2−4)/h

3. Combine like terms in the numerator by subtracting $4 - 4$.

(4*h+h^2)/h

4. Factor out the common factor h from the terms in the numerator.

(h*(4+h))/h

5. Divide the numerator and denominator by h to simplify the expression.

4+h

Final Answer

((2+h)^2−2^2)/h=4+h

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