What is factor a^3-b^6 ?

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

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factor a^3-b^6

factor

a^{3} - b^{6}

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

Solution steps

a^{3} - b^{6}

Apply exponent rule:

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

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

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

Apply Difference of Cubes Formula:

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

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

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

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

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

\frac{15}{- 9}

15 x^{2} - 16 x y + 4 y^{2}

p^{2} + 15 p + 14 = 0

a^{2} + 3 a

80 \cdot \frac{π}{180}

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