Question

P4+2p2+9
please give me the answer

Answer 1

Answer:

${p}^{4} + 2 {p}^{2} + 9 \\ = ( {p}^{2} ) {}^{2} + 2 \times {p}^{2} \times 3 + {3}^{2} - 4 {p}^{2} \\ = ( {p}^{2} + 3) {}^{2} - (2 {p})^{2} \\ = ( {p}^{2} + 3 + 2p)( {p}^{2} + 3 - 2p) \\ = ( {p}^{2} + 2p + 3)( {p}^{2} - 2p + 3)$

neither of (p^2 + 2p + 3) or (p^2 - 2p + 3) can be factorised any. further

so this is the required ans