Question

Factorise P^4+2p^2q^2+q4 by using identities

Answer 1

Answer:

$= p {}^{4} + 2p {}^{2} q { }^{2} + q {}^{4} \\ = (p {}^{2} ) {}^{2} + 2(p {}^{2} )(q) {}^{2} +( q {}^{2} ) {}^{2} \\ = (p {}^{2} + q {}^{2} ) {}^{2}$

Answer 2

Answer:

${p}^{4} + 2 {p}^{2} 2 {q}^{2} + {q}^{4} \\ \\ = ({ {p}^{2} })^{2} + 2 {p}^{2} 2 {q}^{2} + ({ {q}^{2} })^{2}$

NOW THE FACTORISE FORM IS

(P^2+Q^2)^2