Question

m^2n^2+14mnpq+49p^2q^2 the Expansion​

Answer 1

$\red { Given \: m^{2}n^{2}+14mnpq + 49p^{2}q^{2}}$

$= (mn)^{2} + 2 \times (mn)\times (7pq) + (7pq)^{2} \\= ( mn + 7pq)^{2}$

$\boxed { \pink { Since, \: a^{2} + 2ab + b^{2} = (a+b)^{2} }}$

$= ( mn + 7pq)( mn + 7pq)$

Therefore.,

$\red {m^{2}n^{2}+14mnpq + 49p^{2}q^{2}}$

$\green {= ( mn + 7pq)( mn + 7pq)}$

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