Solve 3*(-6+x)^2

$$3 \times ( - 6 + x ) ^ { 2 }$$

Evaluate

$$3\left(x-6\right)^{2}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-6+x\right)^{2}.

$$3\left(36-12x+x^{2}\right)$$

Use the distributive property to multiply 3 by 36-12x+x^{2}.

$$108-36x+3x^{2}$$

Expand

$$3x^{2}-36x+108$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-6+x\right)^{2}.

$$3\left(36-12x+x^{2}\right)$$

Use the distributive property to multiply 3 by 36-12x+x^{2}.

$$108-36x+3x^{2}$$