factorise xcube-7x-6
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Given Equation is x^3 - 7x - 6.
= > x^3 - x^2 + x^2 - 6x - x - 6
= > x(x^2 - x - 6) + 1(x^2 - x - 6)
= > (x + 1)(x^2 - x - 6)
= > (x + 1)(x^2 + 2x - 3x - 6)
= > (x + 1)[x(x + 2) - 3(x + 2)]
= > (x + 1)[(x - 3)(x + 2)]
= > (x + 1)(x - 3)(x + 2).
Hope this helps!
= > x^3 - x^2 + x^2 - 6x - x - 6
= > x(x^2 - x - 6) + 1(x^2 - x - 6)
= > (x + 1)(x^2 - x - 6)
= > (x + 1)(x^2 + 2x - 3x - 6)
= > (x + 1)[x(x + 2) - 3(x + 2)]
= > (x + 1)[(x - 3)(x + 2)]
= > (x + 1)(x - 3)(x + 2).
Hope this helps!
siddhartharao77:
:-)
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