Find the value of 2×2 + 2y2.

If x + y = 8 and x – y = 2, find the value of 2x² + 2y².

Answer :

We know that

2 (x² + y²) = (x + y)² + (x – y)²

It is given that

x + y = 8 and x – y = 2

Substituting the values

2x² + 2y² = 8² + 2²

By further calculation

= 64 + 4

= 68

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