Question

factorise the following:
$a)9 {a}^{4} + 25 {b}^{4} - 30 {a}^{2} {b }^{2} \\ b) \frac{ {a}^{2} }{16} - \frac{ab}{6} + \frac{ {b}^{2} }{9}$
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Answer 1

Answer:

(a)

$(3a) {}^{2} + {(5b)}^{2} - 2(3a)(5b) \\ =( 3a - 5b) {}^{2}$

(b)

${( \frac{a}{4}) }^{2} - 2( \frac{a}{4} )( \frac{b}{3} ) + {( \frac{b}{3} )}^{2} \\ \\ = ( \frac{a}{4} - \frac{b}{3} ) {}^{2}$