Question

show that (m -n )2 square + (m -n )2 square = 2 ( m square 2 +n square 2​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

(m + n)² + (m - n)² = 2(m² + n²)

(m² + n² + 2mn) + (m² + n² - 2mn) = 2(m² + n²)

m² + n² + 2mn + m² + n² - 2mn = 2(m² + n²)

(m² + m²) + (n² + n²) + (2mn - 2mn) = 2(m² + n²)

2m² + 2n² = 2(m² + n²)

2(m² + n²) = 2(m² + n²)

LHS = RHS

hence, proved