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Question
Evaluate: (5m - 2n)(5m + 2n)(25m2 + 4n2)
Sum
Solution
(5m - 2n)(5m + 2n)(25m2 + 4n2)
= {5m (5m + 2n) - 2n(5m + 2n)} (25m2 + 4n2)
= (25m2 + 10mn - 10mn - 4n2)(25m2 + 4n2)
= (25m2 - 4n2)(25m2 + 4n2)
= 25m2 (25m2 + 4n2) - 4n2 (25m2 + 4n2)
= 625m4 + 100m2n2 - 100m2n2 - 16n4
= 625m4 - 16n4
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