What is factor 6bp^3-27p^2-10bpq+45q ?

The solution to factor 6bp^3-27p^2-10bpq+45q is (-9+2bp)(3p^2-5q)

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factor 6bp^3-27p^2-10bpq+45q

factor

6 b p^{3} - 27 p^{2} - 10 b pq + 45 q

(- 9 + 2 b p) (3 p^{2} - 5 q)

Solution steps

6 b p^{3} - 27 p^{2} - 10 b pq + 45 q

Factor

6 b p^{3} - 27 p^{2} : 3 p^{2} (2 b p - 9)

Factor

- 10 b pq + 45 q : 5 q (- 2 b p + 9)

= 3 p^{2} (2 b p - 9) + 5 q (- 2 b p + 9)

Rewrite as

= 3 (- 9 + 2 b p) p^{2} - 5 (- 9 + 2 b p) q

Factor out common term

(- 9 + 2 b p)

= (- 9 + 2 b p) (3 p^{2} - 5 q)

6 (x + 4) = 20

\frac{3}{4} n - 18 = \frac{1}{4} n - 4

\frac{3 a ^{5}}{4} \cdot \frac{2}{- 15 a ^{3}}

(11)^{2}

4 x - 5 + 7 \cdot (x + 1) = \frac{6 x - 3}{2}

What is factor 6bp^3-27p^2-10bpq+45q ?
The solution to factor 6bp^3-27p^2-10bpq+45q is (-9+2bp)(3p^2-5q)