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

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

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

factor

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

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

Solution steps

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

Apply Difference 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 b ((a + b)^{2} + (a - b) (a + b) + (a - b)^{2})

Expand

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

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

125 a^{3} + 8 a^{3}

y^{3} - 64 a^{3} b^{3}

x^{2} - 11 x + (- 28)

\frac{( 2 + h ) ^{3} - 8}{h}

mn + p n + m p + m^{2}

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