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

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

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factor y^3-8x^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

y^{2} + y \cdot 2 x + (2 x)^{2} : y^{2} + 2 y x + 4 x^{2}

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

45 x - 45 = - 15 x + 75

∣ 3 - x ∣ = ∣ 3 x + 11 ∣

\frac{- 81}{3}

x - 0.28 x = 252

12 a^{2} - 15 ab - 8 a + 10 b

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