What is factor 16ab^2-10c^3+32ac^2-5b^2c ?

The solution to factor 16ab^2-10c^3+32ac^2-5b^2c is (b^2+2c^2)(16a-5c)

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factor 16ab^2-10c^3+32ac^2-5b^2c

factor

16 a b^{2} - 10 c^{3} + 32 a c^{2} - 5 b^{2} c

(b^{2} + 2 c^{2}) (16 a - 5 c)

Solution steps

16 a b^{2} - 10 c^{3} + 32 a c^{2} - 5 b^{2} c

Factor

16 a b^{2} + 32 a c^{2} : 16 a (b^{2} + 2 c^{2})

Factor

- 10 c^{3} - 5 b^{2} c : - 5 c (2 c^{2} + b^{2})

= 16 a (b^{2} + 2 c^{2}) - 5 c (2 c^{2} + b^{2})

Factor out common term

(b^{2} + c^{2} \cdot 2)

= (b^{2} + c^{2} \cdot 2) (16 a - 5 c)

3 z + 9 + 14 z = 4 z + 5

\frac{3 - 2 x}{2} + \frac{x + 2}{3} = 3

y^{3} - 216

9 x^{2} - 25 y^{2} + 10 y - 1

2 m^{2} \cdot 2 m^{3}

What is factor 16ab^2-10c^3+32ac^2-5b^2c ?
The solution to factor 16ab^2-10c^3+32ac^2-5b^2c is (b^2+2c^2)(16a-5c)