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Simplify: \(\frac{{{{\left( {a + b} \right)}^2}}}{{\left( {{a^2} - {b^2}} \right)}} = ?\)

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Simplify:

\(\frac{{{{\left( {a + b} \right)}^2}}}{{\left( {{a^2} - {b^2}} \right)}} = ?\)


1). \(\frac{{ab}}{{\left( {a + b} \right)}}\)
2). \(\frac{{2ab}}{{\left( {a - b} \right)}}\)
3). \(\frac{{\left( {a + b} \right)}}{{\left( {a - b} \right)}}\)
4). None of these


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1 vote
Answered by on | Votes 1 |

Identity

(a2 – b2) = (a +b) (a – b)

We have

$(\frac{{{{\left( {a + b} \right)}^2}}}{{\left( {{a^2} - {b^2}} \right)}} = \frac{{{{\left( {a + b} \right)}^2}}}{{\left( {a - b} \right)\left( {a + b} \right)}})$  [?of identities]

$(= \frac{{\left( {a + b} \right)}}{{\left( {a - b} \right)}})$

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