Question

Factorise the following p4 - q4

Answer 1

(p2 + q2) • (p + q) • (p - q) is your answer

Answer 2

Answer:

$\huge\bigstar\huge\tt\underline\red{ᴀɴsᴡᴇʀ }\bigstar$

${p}^{4} - {q}^{4} = { ({p}^{2} - {q}^{2} ) }^{2}$

${p}^{2} - {q}^{2} = {p}^{2} + {q}^{2} - 2pq$

similarly,

${( {p}^{2} - {q}^{2} ) }^{2} = { ({p}^{2}) }^{2} + { ({q}^{2}) }^{2} - 2 {p}^{2} {q}^{2}$

$= {p}^{4} + {q}^{4} - 2 {p}^{2} {q}^{2}$

Here is your answer

Hope it helps you..!!!