Question

Сократить дробь: 27ab(a+b) / 54b^3(a+b) срочнааа!!!

Answer 1

Нуууу. надеюсь поймешь
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а/2b^2

Answer 2

Simplifying the Fraction

To simplify the given fraction 27ab(a+b) / 54b^3(a+b), we can start by factoring out common terms from the numerator and the denominator.

First, let's factor out the common terms from the numerator and the denominator separately.

Factoring the Numerator

The numerator, 27ab(a+b), can be factored as follows: 27ab(a+b) = 3 * 3 * a * b * (a + b) = 3 * 3 * a * b * (a + b) = 3^3 * ab(a + b)

Factoring the Denominator

The denominator, 54b^3(a+b), can be factored as follows: 54b^3(a+b) = 2 * 3 * 3 * b * b * b * (a + b) = 2 * 3^3 * b^3(a + b)

Simplified Fraction

Now, we can simplify the fraction by canceling out the common terms in the numerator and the denominator: 27ab(a+b) / 54b^3(a+b) = (3^3 * ab(a + b)) / (2 * 3^3 * b^3(a + b))

Canceling out the common terms: = (3^3 * a) / (2 * b^2)

So, the simplified form of the given fraction 27ab(a+b) / 54b^3(a+b) is (3^3 * a) / (2 * b^2).

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.