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Popular >

factor 8y^3+z^3

Solution

factor

8 y^{3} + z^{3}

Solution

(2 y + z) (4 y^{2} - 2 yz + z^{2})

Solution steps

8 y^{3} + z^{3}

Apply exponent rules

= (2 y)^{3} + z^{3}

Apply Sum of Cubes Formula:

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

(2 y)^{3} + z^{3} = (2 y + z) ((2 y)^{2} - 2 yz + z^{2})

= (2 y + z) ((2 y)^{2} - 2 yz + z^{2})

Simplify

(2 y)^{2} - 2 yz + z^{2} : 4 y^{2} - 2 yz + z^{2}

= (2 y + z) (4 y^{2} - 2 yz + z^{2})

Popular Examples

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\frac{8}{9} + \frac{5}{6}

expand (y-2)^5 expand

(y - 2)^{5}

expand-2x^2(4x^3+5)expand

- 2 x^{2} (4 x^{3} + 5)

simplify x^2-5x-8+4x^2-x+3 simplify

x^{2} - 5 x - 8 + 4 x^{2} - x + 3

Frequently Asked Questions (FAQ)

What is factor 8y^3+z^3 ?
The solution to factor 8y^3+z^3 is (2y+z)(4y^2-2yz+z^2)