Solve (-3x^2+4x^2+2x^2)3x+x[(20x^2-(14x)2x]+6x)

$$( - 3 x ^ { 2 } + 4 x ^ { 2 } + 2 x ^ { 2 } ) 3 x + x [ ( 20 x ^ { 2 } - ( 14 x ) 2 x ] + 6 x )$$

Evaluate

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

Solution Steps

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

$$\left(-3x^{2}+4x^{2}+2x^{2}\right)\times 3x+x\left(20x^{2}-14x^{2}\times 2+6x\right)$$

Combine -3x^{2} and 4x^{2} to get x^{2}.

$$\left(x^{2}+2x^{2}\right)\times 3x+x\left(20x^{2}-14x^{2}\times 2+6x\right)$$

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

$$3x^{2}\times 3x+x\left(20x^{2}-14x^{2}\times 2+6x\right)$$

Multiply 3 and 3 to get 9.

$$9x^{2}x+x\left(20x^{2}-14x^{2}\times 2+6x\right)$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$9x^{3}+x\left(20x^{2}-14x^{2}\times 2+6x\right)$$

Multiply 14 and 2 to get 28.

$$9x^{3}+x\left(20x^{2}-28x^{2}+6x\right)$$

Combine 20x^{2} and -28x^{2} to get -8x^{2}.

$$9x^{3}+x\left(-8x^{2}+6x\right)$$

Use the distributive property to multiply x by -8x^{2}+6x.

$$9x^{3}-8x^{3}+6x^{2}$$

Combine 9x^{3} and -8x^{3} to get x^{3}.

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

Expand

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

Solution Steps

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

$$\left(-3x^{2}+4x^{2}+2x^{2}\right)\times 3x+x\left(20x^{2}-14x^{2}\times 2+6x\right)$$

Combine -3x^{2} and 4x^{2} to get x^{2}.

$$\left(x^{2}+2x^{2}\right)\times 3x+x\left(20x^{2}-14x^{2}\times 2+6x\right)$$

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

$$3x^{2}\times 3x+x\left(20x^{2}-14x^{2}\times 2+6x\right)$$

Multiply 3 and 3 to get 9.

$$9x^{2}x+x\left(20x^{2}-14x^{2}\times 2+6x\right)$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$9x^{3}+x\left(20x^{2}-14x^{2}\times 2+6x\right)$$

Multiply 14 and 2 to get 28.

$$9x^{3}+x\left(20x^{2}-28x^{2}+6x\right)$$

Combine 20x^{2} and -28x^{2} to get -8x^{2}.

$$9x^{3}+x\left(-8x^{2}+6x\right)$$

Use the distributive property to multiply x by -8x^{2}+6x.

$$9x^{3}-8x^{3}+6x^{2}$$

Combine 9x^{3} and -8x^{3} to get x^{3}.

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