Question

0.24 If x - y = 10 xy = 5, then find the value of x3-y3​

Answer 1

Answer:

x3-y3 = (x-y)(x2+xy+y2)

x = -1

y = -5

x3-y3 = 124

Answer 2

Given: x - y = 10 and xy = 5

$\red{(x - y) = 10}$

$\blue{(x - y) {}^{3} = 10 {}^{3} }$

$\green{(x) {}^{3} - (y) {}^{3} - 3 \times x \times y(x - y) = 10 {}^{3} }$

$\pink{x {}^{3} - y {}^{3} - 3xy(x - y) = 1000}$

$\purple{x {}^{3} - y {}^{3} - 3 \times 5 \times 10 = 1000}$

$\orange{x {}^{3} - y {}^{3} - 150 = 1000}$

$x {}^{3} - y {}^{3} = 1000 + 150$

$\red{x {}^{3} - y {}^{3} = 1150}$