Question

Using identities, evaluate 52 square - 48 square.

Answer 1

${52}^{2} - {48}^{2} \\ = {(52 - 48)}^{2} \\ = {(52)}^{2} + {(48)}^{2} - 2 \times 52 \times 48 \\ = 2704 + 2304 - 4992 \\ = 16$
identity used is (a-b)square=a square+b square-2×a×b
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