What is (-3x+21)/(-2x-4)*(x^2-16)/(x-7) ?

The solution to (-3x+21)/(-2x-4)*(x^2-16)/(x-7) is (3(x^2-16))/(2x+4)

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simplify (-3x+21)/(-2x-4)*(x^2-16)/(x-7)

simplify

\frac{- 3 x + 21}{- 2 x - 4} \cdot \frac{x ^{2} - 16}{x - 7}

\frac{3 ( x ^{2} - 16 )}{2 x + 4}

Solution steps

\frac{- 3 x + 21}{- 2 x - 4} \cdot \frac{x ^{2} - 16}{x - 7}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( - 3 x + 21 ) ( x ^{2} - 16 )}{( - 2 x - 4 ) ( x - 7 )}

Factor

- 3 x + 21 : 3 (- x + 7)

= \frac{3 ( - x + 7 ) ( x ^{2} - 16 )}{( - 2 x - 4 ) ( x - 7 )}

3 (- x + 7) (x^{2} - 16) = - 3 (x - 7) (x^{2} - 16)

= \frac{- 3 ( x - 7 ) ( x ^{2} - 16 )}{( - 2 x - 4 ) ( x - 7 )}

Cancel the common factor:

x - 7

= \frac{- 3 ( x ^{2} - 16 )}{- 2 x - 4}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{3 ( x ^{2} - 16 )}{- 2 x - 4}

Factor

- 2 x - 4 : - (2 x + 4)

= - \frac{3 ( x ^{2} - 16 )}{- ( 2 x + 4 )}

Apply the fraction rule:

- \frac{a}{- b} = \frac{a}{b}

= \frac{3 ( x ^{2} - 16 )}{2 x + 4}

(7 x - 3) (4 + 2 x)

\frac{2}{3} x - 1

lo g_{3} (8 1^{2})

(c + 8) (8 c + 2)

- 16 x^{4} (- 5 x^{4} y^{5})

What is (-3x+21)/(-2x-4)*(x^2-16)/(x-7) ?
The solution to (-3x+21)/(-2x-4)*(x^2-16)/(x-7) is (3(x^2-16))/(2x+4)