How do you simplify $\frac{x^{2} + 11 x}{x - 2} \div (3 x^{2} + 6 x) \cdot \frac{x^{2} - 4}{x + 11}$ $(x^2+11x)/(x-2)div(3x^2+6x)*(x^2-4)/(x+11)$ ?

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Answer 1 · 2017-06-21T16:46:55

$\frac{1}{3}$ $1/3$

$\frac{x^{2} + 11 x}{x - 2} \div (3 x^{2} + 6 x) \times \frac{x^{2} - 4}{x + 11}$ $(x^2+11x)/(x-2)-:(3x^2+6x)xx(x^2-4)/(x+11)$

$= \frac{x (x + 11)}{x - 2} \times \frac{1}{3 x (x + 2)} \times \frac{(x - 2) (x + 2)}{x + 11}$ $=(x(x+11))/(x-2)xx1/(3x(x+2))xx((x-2)(x+2))/(x+11)$

$=(cancel((x))(cancel(x+11)))/cancel((x-2))xx1/(3cancel((x))cancel((x+2)))xx((cancel(x-2))cancel((x+2)))/cancel((x+11))$

$=1/3$

How do you simplify (x^2+11x)/(x-2)div(3x^2+6x)*(x^2-4)/(x+11)x2+11xx−2÷(3x2+6x)⋅x2−4x+11(x^2+11x)/(x-2)div(3x^2+6x)*(x^2-4)/(x+11)?