Question

Simplifyand then find the value & form=2 n=1 (m+n) (m²=n²)+(m-n) (m²+n²)​

Answer 1

Answer:

Consider

(m+n)

2

m

2

−n

2

×

m

3

−n

3

m

2

+mn+n

2

We know that, (a

2

−b

2

)=(a+b)(a−b) and a

3

−b

3

=(a−b)(a

2

+ab+b

2

)

(m+n)

2

m

2

−n

2

×

m

3

−n

3

m

2

+mn+n

2

=

(m+n)

2

(m+n)(m−n)

×

(m−n)(m

2

+mn+n

2

)

m

2

+mn+n

2

=

m+n

m−n

×

m−n

1

=

m+n

1

∴

(m+n)

2

m

2

−n

2

×

m

3

−n

3

m

2

+mn+n

2

=

m+n

1