What is factor 8x^3-y^3z^3 ?

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

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factor 8x^3-y^3z^3

factor

8 x^{3} - y^{3} z^{3}

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

Solution steps

8 x^{3} - y^{3} z^{3}

Rewrite

8 x^{3}

(2 x)^{3}

Rewrite

y^{3} z^{3}

(yz)^{3}

= (2 x)^{3} - (yz)^{3}

Apply Difference of Cubes Formula:

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

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

= (2 x - yz) ((2 x)^{2} + 2 x yz + (yz)^{2})

Simplify

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

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

[- 1.3]

[(a + 4) - b] [(a + 4) + b]

sin (2 x - 90)

x + (- 5)

x^{2} - 1 x + 1

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