Solve 2(x+h)(x+h)

$$2 ( x + h ) ( x + h )$$

Evaluate

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

Solution Steps

Multiply x+h and x+h to get \left(x+h\right)^{2}.

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

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

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

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

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

Expand

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

Solution Steps

Multiply x+h and x+h to get \left(x+h\right)^{2}.

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

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

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

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

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