Solve 2x^2+2x3/frac{12{x^2}}

$$2 { x }^{ 2 } + \frac{ 2x3 }{ \frac{ 12 }{ { x }^{ 2 } } }$$

Factor

$$\frac{\left(x_{3}+12\right)x^{2}}{6}$$

Solution Steps

Divide 2x_{3} by \frac{12}{x^{2}} by multiplying 2x_{3} by the reciprocal of \frac{12}{x^{2}}.

$$factor(2x^{2}+\frac{2x_{3}x^{2}}{12})$$

Divide 2x_{3}x^{2} by 12 to get \frac{1}{6}x_{3}x^{2}.

$$factor(2x^{2}+\frac{1}{6}x_{3}x^{2})$$

Factor out \frac{1}{6}.

$$\frac{12x^{2}+x_{3}x^{2}}{6}$$

Consider 12x^{2}+x_{3}x^{2}. Factor out x^{2}.

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

Rewrite the complete factored expression.

$$\frac{x^{2}\left(x_{3}+12\right)}{6}$$

Evaluate

$$\frac{\left(x_{3}+12\right)x^{2}}{6}$$