Solve 3(x^2+2)-3(x+1)(x-1)

$$3 ( x ^ { 2 } + 2 ) - 3 ( x + 1 ) ( x - 1 )$$

Evaluate

$$9$$

Solution Steps

Use the distributive property to multiply 3 by x^{2}+2.

$$3x^{2}+6-3\left(x+1\right)\left(x-1\right)$$

Use the distributive property to multiply -3 by x+1.

$$3x^{2}+6+\left(-3x-3\right)\left(x-1\right)$$

Use the distributive property to multiply -3x-3 by x-1 and combine like terms.

$$3x^{2}+6-3x^{2}+3$$

Combine 3x^{2} and -3x^{2} to get 0.

$$6+3$$

Add 6 and 3 to get 9.

$$9$$

Factor

$$3^{2}$$

Solution Steps

Factor out 3.

$$3\left(x^{2}+2-\left(x+1\right)\left(x-1\right)\right)$$

Simplify.

$$9$$