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

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

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

factor

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

(b - 3) (a + b)

Solution steps

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

Group by common factors

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

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

Factor out

a

from

ab - 3 a : a (b - 3)

Factor out

b

from

b^{2} - 3 b : b (b - 3)

= a (b - 3) + b (b - 3)

Factor out common term

b - 3

= (b - 3) (a + b)

3 x^{3} - x^{2} - 3 x + 1

∣ 4 ∣ x = 24

15 x^{3} - 6 + 18 x^{2} - 5 x

30 z^{2} - 53 z + 12

x^{3} + 6 x^{2} > 0