What is factor 2a^3+16b^3-3a-6b ?

The solution to factor 2a^3+16b^3-3a-6b is (2b+a)(8b^2-4ab+2a^2-3)

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factor 2a^3+16b^3-3a-6b

factor

2 a^{3} + 16 b^{3} - 3 a - 6 b

(2 b + a) (8 b^{2} - 4 ab + 2 a^{2} - 3)

Solution steps

2 a^{3} + 16 b^{3} - 3 a - 6 b

Factor

2 a^{3} + 16 b^{3} : 2 (2 b + a) (4 b^{2} - 2 ab + a^{2})

Factor

- 3 a - 6 b : - 3 (a + 2 b)

= (2) (2 b + a) (4 b^{2} - 2 ab + a^{2}) + (- 3) (a + 2 b)

Factor out common term

(2 b + a) : (2 b + a) (2 (4 b^{2} - 2 ab + a^{2}) - 3)

= (2 b + a) (2 (4 b^{2} - 2 ab + a^{2}) - 3)

Expand

2 (4 b^{2} - 2 ab + a^{2}) - 3 : 8 b^{2} - 4 ab + 2 a^{2} - 3

= (2 b + a) (8 b^{2} - 4 ab + 2 a^{2} - 3)

(x - 3)^{2} - 16 y^{2}

(2 - a)^{3}

(5 a^{2} + 7 b^{3}) (5 a^{2} - 7 b^{3})

16 x^{4} + 8 x^{3} - 2 x - 1

14 x^{6} - 45 x^{3} y^{3} - 14 y^{6}

What is factor 2a^3+16b^3-3a-6b ?
The solution to factor 2a^3+16b^3-3a-6b is (2b+a)(8b^2-4ab+2a^2-3)