What is factor 3pq-3pq^3-7p^3q^2+2 ?

The solution to factor 3pq-3pq^3-7p^3q^2+2 is -(3pq^3-3pq+7p^3q^2-2)

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factor 3pq-3pq^3-7p^3q^2+2

factor

3 pq - 3 p q^{3} - 7 p^{3} q^{2} + 2

- (3 p q^{3} - 3 pq + 7 p^{3} q^{2} - 2)

Solution steps

3 pq - 3 p q^{3} - 7 p^{3} q^{2} + 2

= (- 3 p q^{3} + 3 pq) + (- 7 p^{3} q^{2} + 2)

Factor out

- 3 pq

from

- 3 p q^{3} + 3 pq : - 3 pq (q^{2} - 1)

Factor out

- 1

from

- 7 p^{3} q^{2} + 2 : - (7 p^{3} q^{2} - 2)

= - 3 pq (q^{2} - 1) - (7 p^{3} q^{2} - 2)

Factor out

- 1

= - (3 pq (q^{2} - 1) + (7 p^{3} q^{2} - 2))

Remove parentheses:

(a) = a

= - (3 pq (q^{2} - 1) + 7 p^{3} q^{2} - 2)

Expand

3 pq (q^{2} - 1) + 7 p^{3} q^{2} - 2 : 3 p q^{3} - 3 pq + 7 p^{3} q^{2} - 2

= - (3 p q^{3} - 3 pq + 7 p^{3} q^{2} - 2)

(3 - 3 i)^{4}

(a^{2} + b^{2}) (c^{2} + d^{2})

4 x^{2} - 25 y^{4}

(5 x + 7) (5 x + 7)

\frac{2.001 - 2}{2.00 1 ^{2} - 4}

What is factor 3pq-3pq^3-7p^3q^2+2 ?
The solution to factor 3pq-3pq^3-7p^3q^2+2 is -(3pq^3-3pq+7p^3q^2-2)