Question

if x+y=3 and x^2+y^2=15 Find (x-y)^2
pls solve ASAP.​

Answer 1

Answer:

${x}^{2} - {y}^{2} = 15$

ye hona chahiye

Step-by-step explanation:

${x}^{2} - {y}^{2} = 15 \\ (x + y)(x - y) = 15 \\ 3(x - y) = 15 \\ (x - y) = \frac{15}{3} \\ (x - y) = 5 \\ {(x - y)}^{2} = {(5)}^{2} \\ (x - y) {}^{2} = 25$

Answer 2

Step-by-step explanation:

$x + y = 3$

${x}^{2} + {y}^{2} = 15$

$(x + y) {}^{2} = {3}^{2} \\ \\ {x}^{2} + {y}^{2} + 2xy = 9 \\ \\ 15 + 2xy = 9 \\ \\ 2xy = 9 - 15 \\ \\ 2xy = - 6$

$(x - y) {}^{2} = {x}^{2} + {y}^{2} - 2xy \\ \\ = 15 - ( - 6) \\ \\ = 15 + 6 \\ \\ = 21$