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Popular >

factor 5-u+5u^2-u^3

Solution

factor

5 - u + 5 u^{2} - u^{3}

Solution

- (u - 5) (u^{2} + 1)

Solution steps

5 - u + 5 u^{2} - u^{3}

= (- u^{3} + 5 u^{2}) + (- u + 5)

Factor out

- u^{2}

from

- u^{3} + 5 u^{2} : - u^{2} (u - 5)

Factor out

- 1

from

- u + 5 : - (u - 5)

= - u^{2} (u - 5) - (u - 5)

Factor out common term

(u - 5) : (u - 5) (- u^{2} - 1)

= (u - 5) (- u^{2} - 1)

Factor

- u^{2} - 1 : - (u^{2} + 1)

= (u - 5) (- (u^{2} + 1))

Apply rule:

a (- b) = - ab

(u - 5) (- (u^{2} + 1)) = - (u - 5) (u^{2} + 1)

= - (u - 5) (u^{2} + 1)

Popular Examples

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e^{l n (13)}

simplify ((t^2)/4)^2 simplify

(\frac{t ^{2}}{4})^{2}

2 x^{2} + 12 x + 20 = 0

- \frac{u}{3} = - 31

x^{2} = \frac{24}{25}

Frequently Asked Questions (FAQ)

What is factor 5-u+5u^2-u^3 ?
The solution to factor 5-u+5u^2-u^3 is -(u-5)(u^2+1)