Question

30.
\frac{a}{a^{2}-b^{2}}-\frac{b}{a^{2}+ab}=
\textcircled{a} \frac{b(a + b)}{a - b}
\textcircled{b} \frac{a(a + b)}{a - b}
\textcircled{c} \frac{a(a + b)(a - b)}{a^{2}-ab + b^{2}}
\textcircled{d} \frac{a(a + b)(a - b)}{a^{2}-ab - b^{2}}

1. what are the units of the quantity y = \frac{a d v}{t},

Explanation:

Step1: Simplify the left - hand side of the equation

First, simplify \(\frac{a}{a^{2}-b^{2}}-\frac{b}{a^{2}+ab}\).
Factor the denominators: \(a^{2}-b^{2}=(a + b)(a - b)\) and \(a^{2}+ab=a(a + b)\).
The common denominator is \(a(a + b)(a - b)\).
Rewrite the fractions: \(\frac{a\times a}{a(a + b)(a - b)}-\frac{b\times(a - b)}{a(a + b)(a - b)}\).

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Answer:

C. \(\frac{a^{2}-ab + b^{2}}{a(a + b)(a - b)}\)