What is factor (a-b)^3+c^6 ?

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

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factor (a-b)^3+c^6

factor

(a - b)^{3} + c^{6}

(a - b + c^{2}) ((a - b)^{2} - c^{2} (a - b) + c^{4})

Solution steps

(a - b)^{3} + c^{6}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

c^{6} = (c^{2})^{3}

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

Apply Sum of Cubes Formula:

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

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

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

Refine

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

lo g_{2} (23 + 2)

10 (x y)

4 x

x (m + n) - x^{2} - x y + y (m + n)

3 (n)^{2} - 4

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