(7m- en ) ² + (7 m+ 8n)
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Step-by-step explanation:
98m2+128n2
Given, (7m−8n)2+(7m+8n)2.
We know, (a−b)2=a2−2ab+b2
and (a+b)2=a2+2ab+b2.
Then,
(7m−8n)2+(7m+8n)2
=[(7m)2−2(7m)(8n)+(8n)2]+[(7m)2+2(7m)(8n)+(8n)2]
=(49m2−112mn+64n2)+(49m2+112mn+64n2)
=49m2−112mn+64n2+49m2+112mn+64n2
=98m2+128n2.
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