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

The solution to factor (a+b)^3+(a-b)^3 is 2a(a^2+3b^2)

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

factor

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

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

Solution steps

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

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

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

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

Refine

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

Expand

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

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

7.6 x^{2} + (- 2.1) x + (- 4.8)

f (π)

x + (y + 5)

\frac{5 + 5 101}{2}

x 2 - 2 x + 4

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