Solve (x+h)^2-3(x+h)+1

$$( x + h ) ^ { 2 } - 3 ( x + h ) + 1$$

Evaluate

$$\left(x+h\right)^{2}-3h-3x+1$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+h\right)^{2}.

$$x^{2}+2xh+h^{2}-3\left(x+h\right)+1$$

Use the distributive property to multiply -3 by x+h.

$$x^{2}+2xh+h^{2}-3x-3h+1$$

Expand

$$x^{2}+2hx-3x+h^{2}-3h+1$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+h\right)^{2}.

$$x^{2}+2xh+h^{2}-3\left(x+h\right)+1$$

Use the distributive property to multiply -3 by x+h.

$$x^{2}+2xh+h^{2}-3x-3h+1$$