Question

Simplify (7m-8n) 2 + (7m+8n) 2. Write the identities also.

Answer 1

Answer:

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Answer 2

Answer:

98msq. + 128nsq. is the answer

Step-by-step explanation

Given, (7m−8n)

2

+(7m+8n)

2

.

We know, (a−b)

2

=a

2

−2ab+b

2

 

and (a+b)

2

=a

2

+2ab+b

2

.

Then,

(7m−8n)

2

+(7m+8n)

2

=[(7m)

2

−2(7m)(8n)+(8n)

2

]+[(7m)

2

+2(7m)(8n)+(8n)

2

]

=(49m

2

−112mn+64n

2

)+(49m

2

+112mn+64n

2

)

=49m

2

−112mn+64n

2

+49m

2

+112mn+64n

2

=98m

2

+128n

2

.