Question

if x + y is equal to x y is equal to 1 find the value of x cube minus y cube by x square minus y square ​

Answer 1

Answer:

do (x+y) ^3 formula

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Answer 2

x + y = 12

Raise both sides to the 3rd power (cube both sides)

(x + y)� = 12�

(x + y)(x + y)(x + y) = 1728

(x + y)(x� + 2xy + y�) = 1728

x� + 2x�y + xy� + x�y +2xy� + y� = 1728

x� + 3x�y + 3xy� + y� = 1728

Factor 3xy out of the two middle terms:

x� + 3xy(x + y) + y� = 1728

We substitute 27 for xy and 12 for x + y

x� + 3(27)(12) + y� = 1728

x� + 972 + y� = 1728

x� + y� = 756