exam Maths Puzzle Numerical Ability

i need help to factorize x^6 - 7x^3 -8 i know the answer its (x-2)(x+2x+4) (x^2-x +1) but i didnt understand how to solve the sum,please help and thanks

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exam Other Question

log base 2 (x+5) + log base 2 (x+2) = log base 2 solve x/6+3=0