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

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

Expand

$$2x^{2}+4hx+x+2h^{2}+1$$

Solution Steps

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

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

Use the distributive property to multiply 2 by x^{2}+2xh+h^{2}.

$$2x^{2}+4xh+2h^{2}+x+1$$

Evaluate

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

Solution Steps

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

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

Use the distributive property to multiply 2 by x^{2}+2xh+h^{2}.

$$2x^{2}+4xh+2h^{2}+x+1$$