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

Problem

((2+h)2−2)/h

Solution

1. Expand the squared binomial (2+h)2 using the formula (a+b)2=a2+2*a*b+b2

(4+4*h+h2−2)/h

2. Evaluate the constant term 2 in the numerator.

(4+4*h+h2−4)/h

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

(4*h+h2)/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)/h=4+h

Want more problems? Check here!