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