Solve it i will mark u brainliest of its correct
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since
(x+y)=1,
(x+y)²=1²,
x²+y²+2xy=1,
x²+y²=1-2xy,
(x²+y²)²=(1-2xy)²,
x⁴+y⁴+2x²y²=1+4x²y²-4xy,
19+2x²y²-4x²y²=1-4xy,
19-2x²y²=1-4xy,
19-1=2x²y²-4xy,
18=2(x²y²-2xy),
then
x²y²-2xy=18/2=9
(x+y)=1,
(x+y)²=1²,
x²+y²+2xy=1,
x²+y²=1-2xy,
(x²+y²)²=(1-2xy)²,
x⁴+y⁴+2x²y²=1+4x²y²-4xy,
19+2x²y²-4x²y²=1-4xy,
19-2x²y²=1-4xy,
19-1=2x²y²-4xy,
18=2(x²y²-2xy),
then
x²y²-2xy=18/2=9
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Hope it helps you
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(X+y)^2=x^2+y^2+2xy
1=x^2+y^2+2xy
X^2+y^2=1-2xy
(X^2+y^2)^2=x^4+y^4+2x^2y^2
(1-2xy)^2=19+2x^2y^2
1+4x^2y^2-4xy=19+2x^2y^2
2x^2y^2-4xy=18
2(x^2y^2-2xy)=18
x^2y^2-2xy=18÷2=9
Hope it helps you
Please mark me as the brainliest
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