Question

find the value of 625x^2+676y^2,if 25x-26y=16and xy=7​

Answer 1

Step-by-step explanation:

$625x {}^{2} + 676y {}^{2} = (25x) {}^{2} + (26y) {}^{2} \\ = (25x - 26y) {}^{2} + 2 \times 25x \times 26y \\ =16 {}^{2} + 1300xy \\ = 256 + 1300 \times 7 \\ = 256 + 9100 \\ = 9356$

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