Factorise: a³-1/a³-2a+2/a
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the answer of this question will be like this ...
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a^3-1/a^3-2a+2/a
=(a)^3-(1/a)^3-2(a-1/a)
=(a-1/a)^3+3.a.1/a(a-1/a)-2(a-1/a)
=(a-1/a)^3+3(a-1/a)-2(a-1/a)
=(a-1/a)^3+(a-1/a)
=(a-1/a){(a-1/a)^2+1}
=(a-1/a)(a^2+1/a^2-2.a.1/a+1)
=(a-1/a)(a^2+1/a^2-2+1)
=(a-1/a)(a^2+1/a^2-1)
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