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

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

Evaluate

$$\left(x+1\right)\left(x+3\right)$$

Solution Steps

Use the distributive property to multiply 3+x by 1+x and combine like terms.

$$x^{2}+3+4x+x^{2}-x^{2}$$

Combine x^{2} and x^{2} to get 2x^{2}.

$$2x^{2}+3+4x-x^{2}$$

Combine 2x^{2} and -x^{2} to get x^{2}.

$$x^{2}+3+4x$$

Expand

$$x^{2}+4x+3$$

Solution Steps

Use the distributive property to multiply 3+x by 1+x and combine like terms.

$$x^{2}+3+4x+x^{2}-x^{2}$$

Combine x^{2} and x^{2} to get 2x^{2}.

$$2x^{2}+3+4x-x^{2}$$

Combine 2x^{2} and -x^{2} to get x^{2}.

$$x^{2}+3+4x$$