Question

can you give me the answer in a step-by-step way,please​

Answer 1

»Given Question:

If $3x + 5y = 11$ and $xy = 2$, find the value of $9x² + 25y²$

Let's Solve!!

We have:

$3x + 5y = (3x)² + 2(3x)(5y) + (5y)²$

$\implies{(3x + 5y)² = 9x² + 30xy + 25y²}$

$\implies{9x² + 25y² = (3x + 5y)² - 30xy}$

$\implies{9x² + 25y² = 11² - 30 × 2}$

Since, $3x + 5y = 11 \: \& \: xy = 2$

$\implies{9x² + 25y² = 121 - 60}$

$\implies{9x² + 25y² = 61}$

Hence, the value of $9x² + 25y² = 61$

__________________________

Please mark as brainliest<33