Question

A2/a+b-a3/a2+2ab+b2​

Answer 1

Объяснение:

$\frac{a^2}{a+b} -\frac{a^3}{a^2+2ab+b^2} = \frac{a^2}{a+b} -\frac{a^3}{(a+b)^2}=\frac{a^2*(a+b)-a^3}{(a+b)^2} } = \frac{a^3+a^2b-a^3}{(a+b)^2}=\frac{a^2b}{(a+b)^2}.$

Answer 2

It looks like you've provided an expression, and I assume you want to simplify it. The expression you've given is:

A^2 / (a + b) - A^3 / (a^2 + 2ab + b^2)

To simplify this expression, we can find a common denominator for the fractions and then combine them:

1. Find a common denominator, which in this case is (a^2 + 2ab + b^2) for both fractions.
2. Rewrite the fractions with the common denominator:

A^2(a^2 + 2ab + b^2) / [(a + b)(a^2 + 2ab + b^2)] - A^3 / (a^2 + 2ab + b^2)

3. Now, you have a common denominator for both fractions, so you can combine them into a single fraction:

[A^2(a^2 + 2ab + b^2) - A^3] / [(a + b)(a^2 + 2ab + b^2)]

4. You can factor out A^2 from the numerator:

A^2(a^2 + 2ab + b^2 - A) / [(a + b)(a^2 + 2ab + b^2)]

So, the simplified expression is:

A^2(a^2 + 2ab + b^2 - A) / [(a + b)(a^2 + 2ab + b^2)]