Question

2а^2+7a+6/3a^2+3a-6​

Answer 1

Ответ:

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Answer 2

To simplify the given expression, we'll factor the numerator and denominator and then cancel out any common factors:

Expression: (2a^2 + 7a + 6) / (3a^2 + 3a - 6)

Factor the numerator: 2a^2 + 7a + 6 = (2a + 3)(a + 2)

Factor the denominator: 3a^2 + 3a - 6 = 3(a^2 + a - 2) = 3(a + 2)(a - 1)

Now, the expression becomes: ((2a + 3)(a + 2)) / (3(a + 2)(a - 1))

Notice that (a + 2) is a common factor in both the numerator and the denominator. We can cancel it out:

Final simplified expression: (2a + 3) / (3a - 3)

You could also factor out a common factor of 3 from the numerator: 2a + 3 = 2a + 2 + 1 = 2(a + 1) + 1

So, the expression becomes: (2(a + 1) + 1) / (3(a - 1))

Final simplified expression (alternative form): (2(a + 1) + 1) / (3(a - 1))