What is factor 12pu^2-15pv+28qu^2-35qv ?

The solution to factor 12pu^2-15pv+28qu^2-35qv is (3p+7q)(4u^2-5v)

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factor 12pu^2-15pv+28qu^2-35qv

factor

12 p u^{2} - 15 p v + 28 q u^{2} - 35 q v

(3 p + 7 q) (4 u^{2} - 5 v)

Solution steps

12 p u^{2} - 15 p v + 28 q u^{2} - 35 q v

Rewrite as

= 3 \cdot 4 u^{2} p - 15 p v + 7 \cdot 4 u^{2} q - 35 q v

Factor out common term

4 u^{2}

= 4 u^{2} (3 p + 7 q) - 15 p v - 35 q v

Rewrite as

= 4 u^{2} (3 p + 7 q) - 3 \cdot 5 v p - 7 \cdot 5 v q

Factor out common term

5 v

= 4 u^{2} (3 p + 7 q) - 5 v (3 p + 7 q)

Factor out common term

(3 p + 7 q)

= (3 p + 7 q) (4 u^{2} - 5 v)

(x + 1)^{3} - 4 (x + 1) + 4

16 + 2^{x} - 2^{x + 1}

I n (2 x)

\frac{e ^{2} - 1}{6} - 1

x + 4 x

What is factor 12pu^2-15pv+28qu^2-35qv ?
The solution to factor 12pu^2-15pv+28qu^2-35qv is (3p+7q)(4u^2-5v)