Question

If x2 + y2 = 14 and xy = 3, find the value of
2(x + y)2 -- 5(x - y)2.
.​

Answer 1

Step-by-step explanation:

given, x^2+y^2=14 ; x*y=5

so, (x+y)^2=x^2+y^2+2*x*y

=14+2*5 = 24

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Answer 2

Answer:

2(x+y)²-5(x-y)²=0

Step-by-step explanation:

2(x+y)²-5(x-y)²

=[2(x²+y²+2xy)]-[5(x²+y²-2xy)]

=[2{14+2(3)}]-[5{14-2(3)}]

=[2(14+6)]-[5(14-6)]

=2(20)-5(8)

40-40

=0