Question
Factorise the following:$p^4 + 23p^2q^2 + 90q^4$
✓
Answer
$P^4 + 23p^2q^2 + 90q^4$
$= p^4 + 18p^2q^2 + 5^2q^2 + 90q^4$
$= p^2(p^2 + 18q^2) + 5q^2(p^2 + 18q^2)$
$= (p^2 + 18q^2)(p^2 + 5q^2).$
$= p^4 + 18p^2q^2 + 5^2q^2 + 90q^4$
$= p^2(p^2 + 18q^2) + 5q^2(p^2 + 18q^2)$
$= (p^2 + 18q^2)(p^2 + 5q^2).$
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