Solve 3(2x-2xy)-4(-6+xy+x^2)

$$3(2x-2xy)-4(-6+xy+ { x }^{ 2 } )$$

Evaluate

$$24+6x-10xy-4x^{2}$$

Solution Steps

Use the distributive property to multiply 3 by 2x-2xy.

$$6x-6xy-4\left(-6+xy+x^{2}\right)$$

Use the distributive property to multiply -4 by -6+xy+x^{2}.

$$6x-6xy+24-4xy-4x^{2}$$

Combine -6xy and -4xy to get -10xy.

$$6x-10xy+24-4x^{2}$$

Expand

$$24+6x-10xy-4x^{2}$$

Solution Steps

Use the distributive property to multiply 3 by 2x-2xy.

$$6x-6xy-4\left(-6+xy+x^{2}\right)$$

Use the distributive property to multiply -4 by -6+xy+x^{2}.

$$6x-6xy+24-4xy-4x^{2}$$

Combine -6xy and -4xy to get -10xy.

$$6x-10xy+24-4x^{2}$$