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

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

Evaluate

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

Solution Steps

Calculate 2 to the power of 2 and get 4.

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

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

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

Use the distributive property to multiply 4 by x^{2}-4xy+4y^{2}.

$$4x^{2}-16xy+16y^{2}$$

Expand

$$4x^{2}-16xy+16y^{2}$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

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

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

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

Use the distributive property to multiply 4 by x^{2}-4xy+4y^{2}.

$$4x^{2}-16xy+16y^{2}$$