What is (4x+28)/(x^2+13x+42)*(x^2-36)/(x-6) ?

The solution to (4x+28)/(x^2+13x+42)*(x^2-36)/(x-6) is 4

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simplify (4x+28)/(x^2+13x+42)*(x^2-36)/(x-6)

simplify

\frac{4 x + 28}{x ^{2} + 13 x + 42} \cdot \frac{x ^{2} - 36}{x - 6}

4

Solution steps

\frac{4 x + 28}{x ^{2} + 13 x + 42} \cdot \frac{x ^{2} - 36}{x - 6}

Cancel

\frac{4 x + 28}{x ^{2} + 13 x + 42} : \frac{4}{x + 6}

= \frac{4}{x + 6} \cdot \frac{x ^{2} - 36}{x - 6}

Cancel

\frac{x ^{2} - 36}{x - 6} : x + 6

= \frac{4}{x + 6} (x + 6)

Cross-cancel common factor:

x + 6

= 4

2^{2} \times 2^{3}

1 - (sin (x) - cos (x))^{2}

(2 y + 1)^{2}

x^{4} + 7 x^{2} + 10

x^{3} y^{6} - 216 y^{9}

What is (4x+28)/(x^2+13x+42)*(x^2-36)/(x-6) ?
The solution to (4x+28)/(x^2+13x+42)*(x^2-36)/(x-6) is 4