factorise:
a) 16x^4-81
b) 15pq+9q+15+25p
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answer of (a)
Rewrite 16x4 16 x 4 as (4x2)2 ( 4 x 2 ) 2 . Rewrite 81 as 92 . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 - b 2 = ( a + b ) ( a - b ) where a=4x2 a = 4 x 2 and b=9 .
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answer of (b)
15pq+15+9q+25p
=15pq+9q+15+25p
=3q(5p+3)+5(3+5p)
=(5p+3)(3q+5)
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