What is factor a^9-b^3 ?

The solution to factor a^9-b^3 is (a^3-b)(a^6+a^3b+b^2)

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factor a^9-b^3

factor

a^{9} - b^{3}

(a^{3} - b) (a^{6} + a^{3} b + b^{2})

Solution steps

a^{9} - b^{3}

Apply exponent rule:

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

a^{9} = (a^{3})^{3}

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

Apply Difference of Cubes Formula:

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

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

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

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

= (a^{3} - b) (a^{6} + a^{3} b + b^{2})

5 \cdot \frac{3}{5}

\frac{4 ^{2}}{- 5}

∣ 4 x + 2 ∣ - 17 = 5

\frac{\frac{x}{y} - \frac{y}{x}}{\frac{1}{y} + \frac{1}{x}}

x^{2} - 12 x + 32 > 0

What is factor a^9-b^3 ?
The solution to factor a^9-b^3 is (a^3-b)(a^6+a^3b+b^2)