Question

If m+n = 5 , and m×n = 3 . Find the value of (m+n)² + (m-n)².​

Answer 1

Answer:

38

Step-by-step explanation:

(m+n)² = m² + n² + 2mn

(5)² = m² + n² + 2x3

25 = m² + n² + 6

25 - 6 = m² + n²

19 = m² + n²

(m+n)² + (m-n)² = 2 (m² + n²)

25 + (m-n)² = 2x19

25 + (m-n)² = 38

(m-n)² = 38 - 25

(m-n)² = 13

25 + 13 = 38...

hope it helps you mate........

Answer 2

Answer:

Step-by-step explanation:

(m+n)² = m² + n² + 2mn

(5)² = m² + n² + 2x3

25 = m² + n² + 6

25 - 6 = m² + n²

19 = m² + n²

(m+n)² + (m-n)² = 2 (m² + n²)

25 + (m-n)² = 2x19

25 + (m-n)² = 38

(m-n)² = 38 - 25

(m-n)² = 13

25 + 13 = 38

(m+n)² + (m-n)²=38