Question

a²-5a-14 upon a²-4. into. 20²-a-6 upon 20²-11a-21​

Answer 1

Answer:

$\frac{ {a}^{2} - 5a - 14}{ {a }^{2} - 4} \times \frac{ {20}^{2} - a - 6 }{ {20}^{2} - 11a - 21} \\ = \frac{ {a}^{2} - 7a + 2a - 14}{ {a}^{2} - 4 } \times \frac{ {20}^{2} - a - 6}{ {20}^{2} - 11a - 21 } \\ = \frac{a(a - 7) + 2(a - 7)}{ {(a)}^{2} - ( {2})^{2} } \times \frac{400 - a - 6 }{400 - 11a - 21} \\ = \frac{(a + 2)(a - 7)}{(a + 2)(a - 2)} \times \frac{400 - a - 3 \times 2}{400 - 11a - 3 \times 7} \\ = \frac{a - 7}{a - 2} \times \frac{ - 2a}{ - 77a} \\ = \frac{ - 2a(a - 7)}{ - 77a(a - 2)} \\ = \frac{ {( - 2a)}^{2} + 14a}{ { ( - 77a)}^{2} + 154a } \\ = \frac{4 {a}^{2} + 14a}{5921 {a}^{2} + 154a}$

so, mate above is your answer.

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