Solve 6(x^2+1)-6x(2x)

$$6( { x }^{ 2 } +1)-6x(2x)$$

Evaluate

$$6-6x^{2}$$

Solution Steps

Multiply x and x to get x^{2}.

$$6\left(x^{2}+1\right)-6x^{2}\times 2$$

Use the distributive property to multiply 6 by x^{2}+1.

$$6x^{2}+6-6x^{2}\times 2$$

Multiply 6 and 2 to get 12.

$$6x^{2}+6-12x^{2}$$

Combine 6x^{2} and -12x^{2} to get -6x^{2}.

$$-6x^{2}+6$$

Expand

$$6-6x^{2}$$

Solution Steps

Multiply x and x to get x^{2}.

$$6\left(x^{2}+1\right)-6x^{2}\times 2$$

Use the distributive property to multiply 6 by x^{2}+1.

$$6x^{2}+6-6x^{2}\times 2$$

Multiply 6 and 2 to get 12.

$$6x^{2}+6-12x^{2}$$

Combine 6x^{2} and -12x^{2} to get -6x^{2}.

$$-6x^{2}+6$$