Simplify:
\(\frac{{{{\left( {a + b} \right)}^2}}}{{\left( {{a^2} - {b^2}} \right)}} = ?\)
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]
$(= \frac{{\left( {a + b} \right)}}{{\left( {a - b} \right)}})$
2. If p = 4 + √15, then find the value of \(\frac{{{p^7} + {p^5} + {p^3} + p}}{{{p^2}}}\)
3. If $a^3 + b^3 = 152$ and $a + b = 8$, then what is the value of $ab$?
4. The measure of each interior angle of a regular polygon with 8 sides is
6. The measure of an angle whose supplement is three times as large as its complement, is