Solve 4^2left(4x-yright)^2

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

Evaluate

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

Solution Steps

Calculate 4 to the power of 2 and get 16.

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

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

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

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

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

Expand

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

Solution Steps

Calculate 4 to the power of 2 and get 16.

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

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

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

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

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