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simplify (7m-8n) (7m-8n) +(7m+8n) (7m+8n) using …

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simplify (7m-8n) (7m-8n) +(7m+8n) (7m+8n) using suitable identity
  • 1 answers

Gaurav Seth 5 years, 1 month ago

A n s w e r :
(7m - 8n)2 - (7m + 8n)2 =
 (7m-8n) (7m-8n) +(7m+8n) (7m+8n)
[(7m)2 - 2(7m)(8n) + (8n)2] + [(7m)2 + 2(7m)(8n) + (8n)2]
= [49m2 - 112mn + 64n2]+ [49m2 + 112mn + 64n2
= (49 + 49)m2 + (112 - 112) mn + (64 + 64)n2
= 98m2 + 0(mn) + 128n2
= 98m2 + 128n2
                          

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