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Prove that : (0. 87x0. 87x0. 87+0. 13x0....

Prove that : `(0. 87x0. 87x0. 87+0. 13x0. 13x0. 13)/(0. 87x0. 87-0. 87x0. 13+0. 13x0. 13)=1`

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`(0.87 xx 0.87 xx 0.87 +0.13 xx 0.13 xx 0.13)/(0.87 xx 0.87-0.87 xx 0.13 +0.13 xx 0.13)`
`((0.87)^3(0.13)^3)/((0.87)^2-0.87×0.13+ (0.13)^2)`
`(a^3 + b^3)/(a^2 - ab + b^2)`
where `a = 0.87`, `b =0.13`,`((a+b)(a^2-ab+b^2))/(a^2-ab+b^2)`= `a + b= 0.87+0.13= 1`
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