Solve left(x-4right)^24^2

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

Evaluate

$$16\left(x-4\right)^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.

$$\left(x^{2}-8x+16\right)\times 4^{2}$$

Calculate 4 to the power of 2 and get 16.

$$\left(x^{2}-8x+16\right)\times 16$$

Use the distributive property to multiply x^{2}-8x+16 by 16.

$$16x^{2}-128x+256$$

Expand

$$16x^{2}-128x+256$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.

$$\left(x^{2}-8x+16\right)\times 4^{2}$$

Calculate 4 to the power of 2 and get 16.

$$\left(x^{2}-8x+16\right)\times 16$$

Use the distributive property to multiply x^{2}-8x+16 by 16.

$$16x^{2}-128x+256$$