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Question
Factorise.
`1 + q^3/125`
Sum
Solution
It is known that,
a3 + b3 = (a + b)(a2 − ab + b2)
`(1)^3 + (q/5)^3 = (1 + q/5){(1)^2 - (1) xx (q/5) + (q/5)^2}`
= `(1 + q/5) (1 - q/5 + q^2/25)`
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