Solve 6-24(x-y)+9(x-y)^2

$$6 - 24 ( x - y ) + 9 ( x - y ) ^ { 2 }$$

Evaluate

$$9\left(x-y\right)^{2}+24y-24x+6$$

Solution Steps

Use the distributive property to multiply -24 by x-y.

$$6-24x+24y+9\left(x-y\right)^{2}$$

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

$$6-24x+24y+9\left(x^{2}-2xy+y^{2}\right)$$

Use the distributive property to multiply 9 by x^{2}-2xy+y^{2}.

$$6-24x+24y+9x^{2}-18xy+9y^{2}$$

Expand

$$9x^{2}-18xy-24x+9y^{2}+24y+6$$

Solution Steps

Use the distributive property to multiply -24 by x-y.

$$6-24x+24y+9\left(x-y\right)^{2}$$

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

$$6-24x+24y+9\left(x^{2}-2xy+y^{2}\right)$$

Use the distributive property to multiply 9 by x^{2}-2xy+y^{2}.

$$6-24x+24y+9x^{2}-18xy+9y^{2}$$