Solve 4x^2-(3x-2y)^2

$$4 x ^ { 2 } - ( 3 x - 2 y ) ^ { 2 }$$

Evaluate

$$\left(2y-x\right)\left(5x-2y\right)$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-2y\right)^{2}.

$$4x^{2}-\left(9x^{2}-12xy+4y^{2}\right)$$

To find the opposite of 9x^{2}-12xy+4y^{2}, find the opposite of each term.

$$4x^{2}-9x^{2}+12xy-4y^{2}$$

Combine 4x^{2} and -9x^{2} to get -5x^{2}.

$$-5x^{2}+12xy-4y^{2}$$

Expand

$$-5x^{2}+12xy-4y^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-2y\right)^{2}.

$$4x^{2}-\left(9x^{2}-12xy+4y^{2}\right)$$

To find the opposite of 9x^{2}-12xy+4y^{2}, find the opposite of each term.

$$4x^{2}-9x^{2}+12xy-4y^{2}$$

Combine 4x^{2} and -9x^{2} to get -5x^{2}.

$$-5x^{2}+12xy-4y^{2}$$