Question

A²-ab+b²/a³+b³ сократите дробь пожалуйста

Answer 1

Знаменатель нужно раскрыть по формуле сокращенного умножения.

Answer 2

Simplifying the Fraction

To simplify the given expression A²-ab+b²/a³+b³, we can factor the numerator and the denominator and then cancel out any common factors.

Factorization

The numerator A²-ab+b² can be factored into (A-b)² using the formula for the square of a binomial: (a-b)² = a² - 2ab + b².

The denominator a³+b³ can be factored using the sum of cubes formula: a³+b³ = (a+b)(a²-ab+b²).

Simplified Fraction

By canceling out the common factor (A-b)² in the numerator and the factor (a²-ab+b²) in the denominator, the simplified fraction is:

= 1 / (a+b)

So, the simplified form of the given expression A²-ab+b²/a³+b³ is 1 / (a+b).