Question

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

Answer 1

Step-by-step explanation:

(5x-2y)=7

so (5x-2y)^2=49

25x^2 +4y^2 -2×y=49

but xy=2 so 2xy=4

(5x)^2+(2y)^2=53. -------------------(1)

(5x+2y)^2= (5×)^2 + (2y)^2 +2×y

but by (1)

(5x)^2+(2y)^2=53

so

(5x+2y)^2=57

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Answer 2

Step-by-step explanation:

5x - 2y =7

xy = 2

So,

(5x+2y)^2 =(5x-2y)^2 + 4xy

= 7^2 + 4(2)

= 49 + 8

= 57

Hope it helps you :)