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Popular >

factor (x+1)-(x-2)^4

Solution

factor

(x + 1) - (x - 2)^{4}

Solution

- x^{4} + 8 x^{3} - 24 x^{2} + 33 x - 15

Solution steps

(x + 1) - (x - 2)^{4}

Remove parentheses:

(a) = a

= x + 1 - (x - 2)^{4}

(x - 2)^{4} : x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16

= x + 1 - (x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16)

- (x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16) : - x^{4} + 8 x^{3} - 24 x^{2} + 32 x - 16

= x + 1 - x^{4} + 8 x^{3} - 24 x^{2} + 32 x - 16

Simplify

x + 1 - x^{4} + 8 x^{3} - 24 x^{2} + 32 x - 16 : - x^{4} + 8 x^{3} - 24 x^{2} + 33 x - 15

= - x^{4} + 8 x^{3} - 24 x^{2} + 33 x - 15

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Frequently Asked Questions (FAQ)

What is factor (x+1)-(x-2)^4 ?
The solution to factor (x+1)-(x-2)^4 is -x^4+8x^3-24x^2+33x-15