Solve 6xy3-9n*2y3+12n*3y3-3n2*4y3

$$6 x y 3 - 9 n \times 2 y 3 + 12 n \times 3 y 3 - 3 n 2 \times 4 y 3$$

Factor

$$6y_{3}\left(x+3n-2n_{2}\right)$$

Solution Steps

Factor out 6.

$$6\left(xy_{3}-3ny_{3}+6ny_{3}-2n_{2}y_{3}\right)$$

Consider xy_{3}-3ny_{3}+6ny_{3}-2n_{2}y_{3}. Factor out y_{3}.

$$y_{3}\left(x-3n+6n-2n_{2}\right)$$

Consider x-3n+6n-2n_{2}. Multiply and combine like terms.

$$x-2n_{2}+3n$$

Rewrite the complete factored expression.

$$6y_{3}\left(x-2n_{2}+3n\right)$$

Evaluate

$$6y_{3}\left(x+3n-2n_{2}\right)$$