What is factor 5(a+b)^3-2(a+b)+(a+b)^3 ?

The solution to factor 5(a+b)^3-2(a+b)+(a+b)^3 is 2(a+b)(3a^2+6ab+3b^2-1)

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factor 5(a+b)^3-2(a+b)+(a+b)^3

factor

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

2 (a + b) (3 a^{2} + 6 ab + 3 b^{2} - 1)

Solution steps

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

Add similar elements:

5 (a + b)^{3} + (a + b)^{3} = 6 (a + b)^{3}

= 6 (a + b)^{3} - 2 (a + b)

Factor out common term

2 (a + b) : 2 (a + b) (3 (a + b)^{2} - 1)

= 2 (a + b) (3 (a + b)^{2} - 1)

Expand

3 (a + b)^{2} - 1 : 3 a^{2} + 6 ab + 3 b^{2} - 1

= 2 (a + b) (3 a^{2} + 6 ab + 3 b^{2} - 1)

\frac{k ( 2 k - 1 ) ( 2 k + 1 )}{3} + (2 (k + 1) - 1)^{2}

\frac{9}{2} - 1

\frac{3}{b ^{2} - 4 b - 5} - \frac{2}{b ^{2} - 6 b + 5}

72 x + 15 x^{2} - 3 x^{3}

x^{2} - 3 x - 2 = 0

What is factor 5(a+b)^3-2(a+b)+(a+b)^3 ?
The solution to factor 5(a+b)^3-2(a+b)+(a+b)^3 is 2(a+b)(3a^2+6ab+3b^2-1)