solve this pleezeeeeeee
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Given x^6 - 7x^3 - 8
= > (x + 1)(x^5 - x^4 + x^3 - 8x^2 + 8x - 8)
= > (x + 1)(x^5 - x^4 + x^3) + (-8x^2 + 8x - 8)
= > (x + 1)(x^3(x^2 - x + 1) - 8(x^2 - x + 1))
= > (x + 1)(x^2 - x - 1)(x^3 - 8)
= > (x + 1)(x^2 - x - 1)(x^3 - 2^3)
We know that a^3 - b^3 = (a - b)(a^2 + ab + b^2)
= > (x + 1)(x^2 - x +1)(x - 2)(x^2 + 2x + 4).
Hope this helps!
= > (x + 1)(x^5 - x^4 + x^3 - 8x^2 + 8x - 8)
= > (x + 1)(x^5 - x^4 + x^3) + (-8x^2 + 8x - 8)
= > (x + 1)(x^3(x^2 - x + 1) - 8(x^2 - x + 1))
= > (x + 1)(x^2 - x - 1)(x^3 - 8)
= > (x + 1)(x^2 - x - 1)(x^3 - 2^3)
We know that a^3 - b^3 = (a - b)(a^2 + ab + b^2)
= > (x + 1)(x^2 - x +1)(x - 2)(x^2 + 2x + 4).
Hope this helps!
bhargavkumar1:
pleezzeeeee send solution in page
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