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Class 10 > Factorise: (cube of x) + x - 3 (square of x) - 3?
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Factorise: (cube of x) + x - 3 (square of x) - 3?

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x^3-3x^2+x-3 is the given equation. Taking x^2 as common from the first two terms, we get, x^2(x-3)+1(x-3) , which can be written as, (x^2+1)(x-3). Thus (x^2+1) and (x-3) are the factors of the equation.
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