Solve 6(x^2+4)-3(x^2+4)+5(x^2+2)

$$6 ( x ^ { 2 } + 4 ) - 3 ( x ^ { 2 } + 4 ) + 5 ( x ^ { 2 } + 2 )$$

Evaluate

$$8x^{2}+22$$

Solution Steps

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

$$6x^{2}+24-3\left(x^{2}+4\right)+5\left(x^{2}+2\right)$$

Use the distributive property to multiply -3 by x^{2}+4.

$$6x^{2}+24-3x^{2}-12+5\left(x^{2}+2\right)$$

Combine 6x^{2} and -3x^{2} to get 3x^{2}.

$$3x^{2}+24-12+5\left(x^{2}+2\right)$$

Subtract 12 from 24 to get 12.

$$3x^{2}+12+5\left(x^{2}+2\right)$$

Use the distributive property to multiply 5 by x^{2}+2.

$$3x^{2}+12+5x^{2}+10$$

Combine 3x^{2} and 5x^{2} to get 8x^{2}.

$$8x^{2}+12+10$$

Add 12 and 10 to get 22.

$$8x^{2}+22$$

Expand

$$8x^{2}+22$$

Solution Steps

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

$$6x^{2}+24-3\left(x^{2}+4\right)+5\left(x^{2}+2\right)$$

Use the distributive property to multiply -3 by x^{2}+4.

$$6x^{2}+24-3x^{2}-12+5\left(x^{2}+2\right)$$

Combine 6x^{2} and -3x^{2} to get 3x^{2}.

$$3x^{2}+24-12+5\left(x^{2}+2\right)$$

Subtract 12 from 24 to get 12.

$$3x^{2}+12+5\left(x^{2}+2\right)$$

Use the distributive property to multiply 5 by x^{2}+2.

$$3x^{2}+12+5x^{2}+10$$

Combine 3x^{2} and 5x^{2} to get 8x^{2}.

$$8x^{2}+12+10$$

Add 12 and 10 to get 22.

$$8x^{2}+22$$