What is factor 3a^2-9ab-5ac+15bc ?

The solution to factor 3a^2-9ab-5ac+15bc is (a-3b)(3a-5c)

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factor 3a^2-9ab-5ac+15bc

factor

3 a^{2} - 9 ab - 5 a c + 15 b c

(a - 3 b) (3 a - 5 c)

Solution steps

3 a^{2} - 9 ab - 5 a c + 15 b c

Factor

3 a^{2} - 9 ab : 3 a (a - 3 b)

Factor

- 5 a c + 15 b c : 5 c (- a + 3 b)

= 3 a (a - 3 b) + 5 c (- a + 3 b)

Rewrite as

= 3 (a - 3 b) a - 5 (a - 3 b) c

Factor out common term

(a - 3 b)

= (a - 3 b) (3 a - 5 c)

(x + 3)^{3} + 1

\frac{x ^{2} - 2 x}{x}

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

e^{j θ} - e^{- j θ}

N W - MZ + NZ - M W

What is factor 3a^2-9ab-5ac+15bc ?
The solution to factor 3a^2-9ab-5ac+15bc is (a-3b)(3a-5c)