What is factor 8a^3-27y^3 ?

The solution to factor 8a^3-27y^3 is (2a-3y)(4a^2+9y^2+6ay)

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factor 8a^3-27y^3

factor

8 a^{3} - 27 y^{3}

(2 a - 3 y) (4 a^{2} + 9 y^{2} + 6 a y)

Solution steps

8 a^{3} - 27 y^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

(2 a)^{3} - (3 y)^{3} = (2 a - 3 y) ((2 a)^{2} + 2 a \cdot 3 y + (3 y)^{2})

= (2 a - 3 y) ((2 a)^{2} + 2 a \cdot 3 y + (3 y)^{2})

Simplify

(2 a)^{2} + 2 a \cdot 3 y + (3 y)^{2} : 4 a^{2} + 6 y a + 9 y^{2}

= (2 a - 3 y) (4 a^{2} + 6 y a + 9 y^{2})

= (2 a - 3 y) (4 a^{2} + 9 y^{2} + 6 a y)

(x + 1) + (x + 1)

7 - lo g_{10} (7 a)

(x + 1) (x + 2) (x + 3) (x + 4) - 3

1 + 2 \frac{b}{3} + \frac{b ^{2}}{9}

(\frac{x}{4 - 2 y})^{3}

What is factor 8a^3-27y^3 ?
The solution to factor 8a^3-27y^3 is (2a-3y)(4a^2+9y^2+6ay)