Question

if 5x-2y=7 and xy=2,find the value of (5x+2y)²

Answer 1

${(5x - 2y)}^{2} = {25x}^{2} + {4y}^{2} - (2 \times 5x \times 2y)$
Given:-
5x-2y=7
xy=2
${7}^{2} = {25x}^{2} + {4y}^{2} - 40$
$89 = {25x}^{2} + {4y}^{2}$
Now;
${(5x + 2y)}^{2} = {25x}^{2} + {4y}^{2} + 20xy$
${(5x + 2y)}^{2} = 89 + 40$
${(5x + 2y)}^{2} = 129$
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Answer 2

Answer:

hey there !!

here is your answer ...

hope it helps you a lot ....