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Question

Subtract 2x3x2+4x6 from x3+5x24x+6.

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Solution

(x3+5x24x+6)(2x3x2+4x6)
=x3+5x24x+62x3+x24x+6
=(12)x3+(5+1)x2+(44)x+(6+6)
=1x3+6x28x+12
=x3+6x28x+12

Hence, $(x^3 + 5x^2 -4x + 6)- (2x^3 -x^2 + 4x -6)=- x^3 + 6x^2 -8x + 12$.

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