Question

p^2+2pq+q^2-m^2+2mn-n^2....factorise​

Answer 1

(p + q)^2 = p^2 + q^2 + 2pq

m^2 + n^2 - 2mn = ( m-n)^2

So

p^2 + 2pq + q^2 -( m^2 - 2mn + n^2)

( p+q)^2 - ( m- n)^2

( p+q + m-n ) ( p+q - m + n)

Answer 2

${p}^{2} + 2pq + {q}^{2} - {m}^{2} + 2mn - {n}^{2} \\ = {(p + q)}^{2} - {(m - n)}^{2} \\ = (p + q + m - n)(p + q - m + n)$

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