Given that x + y = - 2, a + B = - 1 / 2, x-xy + y = - 1, then the third power of BX + the third power of ay + the third power of by + the third power of AX =? | Math enthusiast | Mathematical art

Given that x + y = - 2, a + B = - 1 / 2, x-xy + y = - 1, then the third power of BX + the third power of ay + the third power of by + the third power of AX =?

bx^3+ay^3+by^3+ax^3
=b(x^3+y^3)+a(x^3+y^3)
=(a+b)(x^3+y^3)
=(a+b)(x+y)(x^2+y^2-xy)
=-1/2*(-2)*(-1)
=-1

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