What is factor a^3-4a^2-ab+4b ?

The solution to factor a^3-4a^2-ab+4b is (a-4)(a^2-b)

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factor a^3-4a^2-ab+4b

factor

a^{3} - 4 a^{2} - ab + 4 b

(a - 4) (a^{2} - b)

Solution steps

a^{3} - 4 a^{2} - ab + 4 b

= (a^{3} - 4 a^{2}) + (4 b - ab)

Factor out

a^{2}

from

a^{3} - 4 a^{2} : a^{2} (a - 4)

Factor out

b

from

4 b - ab : b (4 - a)

= a^{2} (a - 4) + b (4 - a)

b (4 - a) = - b (a - 4)

= a^{2} (a - 4) - b (a - 4)

Factor out common term

a - 4

= (a - 4) (a^{2} - b)

x^{3} + 4 x^{2} - 3 x - 18

- 4 x^{2} - 7 x - 2 = 0

- 2 + 23 i

4 x^{2} + 8 x + 7 = 0

3 (- \frac{1}{3})^{3} + (- \frac{1}{3})^{2} - 6 (- \frac{1}{3}) - 2

What is factor a^3-4a^2-ab+4b ?
The solution to factor a^3-4a^2-ab+4b is (a-4)(a^2-b)