What is factor a^3-b^{12} ?

The solution to factor a^3-b^{12} is (a-b^4)(a^2+ab^4+b^8)

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factor a^3-b^{12}

factor

a^{3} - b^{12}

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

Solution steps

a^{3} - b^{12}

Apply exponent rule:

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

b^{12} = (b^{4})^{3}

= a^{3} - (b^{4})^{3}

Apply Difference of Cubes Formula:

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

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

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

(b^{4})^{2} = b^{8}

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

6 a^{2} - 5 a - 21

6 (x + 2)^{2} - 7

- (3 x - 7)

\frac{\frac{9}{7}}{3}

(- 3)^{2} - 1

What is factor a^3-b^{12} ?
The solution to factor a^3-b^{12} is (a-b^4)(a^2+ab^4+b^8)