solve
a^2-b^2/a^2-3a * 2a-b/(a+b)^2
To solve the expression, we can simplify each part of the expression separately and then combine the simplified parts.
First, simplify the expression a^2-b^2/a^2-3a:
a^2 - b^2 can be factored as (a-b)(a+b).
So, a^2-b^2/a^2-3a = (a-b)(a+b)/(a^2- 3a).
Next, simplify the expression 2a-b:
This expression cannot be simplified further.
Now, simplify the expression (a+b)^2:
(a+b)^2 = (a+b)(a+b) = a^2 + 2ab + b^2.
Finally, combine the simplified parts:
[(a-b)(a+b)/(a^2- 3a)] * [2a-b/(a+b)^2]
= [(a-b)(a+b)/(a^2- 3a)] * [2a-b/(a^2 + 2ab + b^2)]
= [(a-b)(a+b) * (2a-b)] / [(a^2- 3a) * (a^2 + 2ab + b^2)]
= [(a-b)(a+b)(2a-b)] / [(a^2- 3a) * (a^2 + 2ab + b^2)]
And that is the simplified form of the expression.
no
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multiply
a^2-b^2/a^2-3a * 2a-b/(a+b)^2
To multiply the given expression, we can first simplify each term individually and then combine them:
Let's start with the first term: (a^2 - b^2)/(a^2 - 3a)
The numerator can be factored as the difference of squares: a^2 - b^2 = (a + b)(a - b)
The denominator can be factored as well: a^2 - 3a = a(a - 3)
So, the first term simplifies to: (a + b)(a - b)/(a(a - 3))
Now, let's simplify the second term: (2a - b)/(a + b)^2
There is no further simplification possible for this term.
Combining the simplified terms:
((a + b)(a - b)/(a(a - 3))) * ((2a - b)/(a + b)^2)
The (a + b) in the numerator and denominator cancels out:
(a - b)/(a(a - 3)) * (2a - b)/(a + b)
To multiply the two fractions, we can multiply numerator by numerator and denominator by denominator:
(a - b)(2a - b)/(a(a - 3)(a + b))
This product form is the simplified version of the original expression: (a^2 - b^2)/(a^2 - 3a) * (2a - b)/(a + b)^2.