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Popular >

factor 8y^3-27

Solution

factor

8 y^{3} - 27

Solution

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

Solution steps

8 y^{3} - 27

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

Popular Examples

factor rs^3-27rt^3+3s^3-81t^3 factor

r s^{3} - 27 r t^{3} + 3 s^{3} - 81 t^{3}

simplify (g^8h^2m)/(hg^7)simplify

\frac{g ^{8} h ^{2} m}{h g ^{7}}

- 6 (3 p - 3) = 90

simplify x(x^2)simplify

x (x^{2})

2 x^{2} - 12 x + 15 = 0

Frequently Asked Questions (FAQ)

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