Question

m*n= 6
m-n=6
then,
m²+n²=​

Answer 1

Answer:

The value of m² + n² is 48.

Step-by-step explanation:

The expansion of (m - n)² is:

$(m-n)^{2}=m^{2}+n^{2}-2mn$

Given:

(m - n) = 6

mn = 6

Compute the value of m² + n² as follows:

$(m-n)^{2}=m^{2}+n^{2}-2mn\\6^{2}=m^{2}+n^{2}-(2\times6)\\36=m^{2}+n^{2}-12\\m^{2}+n^{2}=36+12\\=48$

Thus, the value of m² + n² is 48.