Question

Simplify: a^2+10a+21/a2+6a-7 ×a^2-1/a+3​

Answer 1

Answer:

Step-by-step explanation:

a² + 10a + 21/ a² + 6a - 7    * a² - 1 / a+3

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Factors as below:

a² + 10a + 21

=> a² + 7a + 3a + 21

=> a(a + 7) + 3(a+7)

=> (a+3)(a+7)

a² + 6a - 7

=> a² + 7a - a - 7

=>a(a+7) - 1(a+7)

=> (a - 1)(a+7)

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Substituting back in mail equation:

=> (a+3)(a+7) / (a - 1)(a+7)  * [(a + 1)(a - 1) /a + 3]

=> a + 1

Answer 2

Answer:

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