Question

If x² - y2 = 65 and x - y =-13, find the value of (2x + 2y)2?

Answer 1

Answer:

-20

Step-by-step explanation:

${x}^{2} - {y}^{2} = (x + y)(x - y) = 65$

however,

$x - y = - 13$

therefore;

$(x + y)( - 13) = 65$

$(x + y) = - 5$

$4(x + y) = 4 \times ( - 5)$

$2(2x + 2y) = - 20$