Question

5.If (5x-2y)=7 and xy=3, then the value of (5x+2y)^2​

Answer 1

Answer:

61

Step-by-step explanation:

$formula \\ \\ {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ {(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy \\ = > {(x + y)}^{2} = {(x - y)}^{2} + 4xy\\ \\ \\ given \\ \\ (5x - 2y) = 7 \\ xy = 3 \\ \\ to \: \: find \\ {(5x + 2y)}^{2} \\ \\ = {(5x - 2y)}^{2} + 4xy \\ \\ = {7}^{2} + 4(3) \\ \\ = 49 + 12 \\ \\ = 61$

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