1.

Find: (5m + 7n)2

Answer»

 (5m + 7n)2 is in the form of (a + b)2.

(a + b)2 = a2 + 2ab + b2   [a = 5m, b = 7n]

(5m + 7n)2 = (5m)2 + 2 × 5m × 7n + (7n)2

= (5m × 5m) + 70 mn + 7n × 7n

= 25m2 + 70mn + 49n2



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