Solve 124x^2+20x^3-12x^2+24x^3=

$$124 { x }^{ 2 } +20 { x }^{ 3 } -12 { x }^{ 2 } +24 { x }^{ 3 } =$$

Evaluate

$$4\left(11x+28\right)x^{2}$$

Solution Steps

Combine 124x^{2} and -12x^{2} to get 112x^{2}.

$$112x^{2}+20x^{3}+24x^{3}$$

Combine 20x^{3} and 24x^{3} to get 44x^{3}.

$$112x^{2}+44x^{3}$$

Factor

$$4\left(11x+28\right)x^{2}$$

Solution Steps

Factor out 4.

$$4\left(31x^{2}+5x^{3}-3x^{2}+6x^{3}\right)$$

Consider 31x^{2}+5x^{3}-3x^{2}+6x^{3}. Factor out x^{2}.

$$x^{2}\left(28+11x\right)$$

Consider 31+5x-3+6x. Multiply and combine like terms.

$$11x+28$$

Rewrite the complete factored expression.

$$4x^{2}\left(11x+28\right)$$