What is (x+7)/(x+8)*(x^2+x-56)/(x^2-49) ?

The solution to (x+7)/(x+8)*(x^2+x-56)/(x^2-49) is 1

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simplify (x+7)/(x+8)*(x^2+x-56)/(x^2-49)

simplify

\frac{x + 7}{x + 8} \cdot \frac{x ^{2} + x - 56}{x ^{2} - 49}

1

Solution steps

\frac{x + 7}{x + 8} \cdot \frac{x ^{2} + x - 56}{x ^{2} - 49}

Cancel

\frac{x ^{2} + x - 56}{x ^{2} - 49} : \frac{x + 8}{x + 7}

= \frac{x + 7}{x + 8} \cdot \frac{x + 8}{x + 7}

Cross cancel:

\frac{a}{b} \cdot \frac{b}{a} = 1

= 1

e^{\frac{7 ( 5 l n ( x ^{5} ) )}{5}}

(3 + 3) (3 - 3)

x + (- x)

2 + \frac{5}{a + 1}

x (1)

What is (x+7)/(x+8)*(x^2+x-56)/(x^2-49) ?
The solution to (x+7)/(x+8)*(x^2+x-56)/(x^2-49) is 1