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Popular >

factor a^3-5a^2-a+5

Solution

factor

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

Solution

(a - 5) (a + 1) (a - 1)

Solution steps

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

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

Factor out

a^{2}

from

a^{3} - 5 a^{2} : a^{2} (a - 5)

Factor out

- 1

from

- a + 5 : - (a - 5)

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

Factor out common term

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

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

Factor

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

= (a - 5) (a + 1) (a - 1)

Popular Examples

factor 4g^2-4g+1 factor

4 g^{2} - 4 g + 1

simplify 6(9s+9)simplify

6 (9 s + 9)

simplify 2 5/6+7/4 simplify

2 \frac{5}{6} + \frac{7}{4}

simplify a^3+a^3 simplify

a^{3} + a^{3}

5 \frac{1}{3} - 2 \frac{3}{4}

Frequently Asked Questions (FAQ)

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