Question

simplify. (x²+y²-2xy/5)-(-4x²/3-4y²/5+8xy/4)​

Answer 1

Answer:

$\frac{35 {x}^{2} + 27 {y}^{2} - 36xy}{15}$

Step-by-step explanation:

${x}^{2} + {y}^{2} - \frac{2xy}{5} + \frac{4 {x}^{2} }{3 } + \frac{ {4y}^{2} }{5 } - \frac{8xy}{4}$

$= \frac{7 {x}^{2} }{3} + \frac{9 {y}^{2} }{5} - \frac{48xy}{20}$

$= \frac{140 {x}^{2} + 108 {y}^{2} - 144xy}{60}$

$= \frac{ 35 {x}^{2} + 27 {y}^{2} -36xy}{15}$