Solve 4+4(x-y)+(x-y)^2

$$4 + 4 ( x - y ) + ( x - y ) ^ { 2 }$$

Evaluate

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

Solution Steps

Use the distributive property to multiply 4 by x-y.

$$4+4x-4y+\left(x-y\right)^{2}$$

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

$$4+4x-4y+x^{2}-2xy+y^{2}$$

Expand

$$x^{2}-2xy+4x+y^{2}-4y+4$$

Solution Steps

Use the distributive property to multiply 4 by x-y.

$$4+4x-4y+\left(x-y\right)^{2}$$

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

$$4+4x-4y+x^{2}-2xy+y^{2}$$