Solve 3x^2+6x^2x+9xx^2

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

Evaluate

$$3\left(5x+1\right)x^{2}$$

Solution Steps

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

$$3x^{2}+6x^{3}+9xx^{2}$$

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

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

Combine 6x^{3} and 9x^{3} to get 15x^{3}.

$$3x^{2}+15x^{3}$$

Factor

$$3\left(5x+1\right)x^{2}$$

Solution Steps

Factor out 3.

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

Consider x^{2}+2x^{3}+3x^{3}. Factor out x^{2}.

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

Consider 1+2x+3x. Multiply and combine like terms.

$$5x+1$$

Rewrite the complete factored expression.

$$3x^{2}\left(5x+1\right)$$