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Factorize: (x+1)^3+(x-1)^3...

Factorize: `(x+1)^3+(x-1)^3`

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We have,`(x+1)^3+(x-1)^3`
= `{(x+1)+ (x − 1)} {(x + 1)^2(x+1)(x-1)+(x−1)^2}`
`[ :.a^3 + b^3 = (a + b)(a^2 - ab + b^2)]`
=`(x+1+x-1){(x^2+2x+1)-(x^2-1)+(x^2-2x+1)}`
`[(a + b)^2 = a^2 ± 2ab + b^2]`
= `2x(x^2+2x+1-x^2+1+x^2–2x+1)`
= `2x(x^2+3)`
`(x + 1)^2+ (x − 1)^3= 2x(x^2+3)`
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