Question

Question for only genius



if x²+9y²=9and xy=1 find (2x+6y)²​

Answer 1

Step-by-step explanation:

hope it help you...thank you

Answer 2

Step-by-step explanation:

Given that,

• x² + 9y² = 9
• xy = 1

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Now,

x² + 9y² = 9

=>(x)² + (3y)² = 9

[(a² + b²) = (a + b)² - 2ab]

=> (x + 3y)² - 2*x*3y = 9

=> (x + 3y)² - 6xy = 9

=>(x + 3y)² -6*1 = 9 [xy =1]

=>(x + 3y)² = 9 + 6

=>(x + 3y)² = 15

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So,

(2x + 6y)²

= (2(x + 3y))²

[(ab)² = a² * b²]

=2²(x + 3y)²

= 4 * 15 [(x + 3y)² = 15]

= 60

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