What is factor ax^3+ax^2y+axy^2-2ax^2-2axy-2ay^2 ?

The solution to factor ax^3+ax^2y+axy^2-2ax^2-2axy-2ay^2 is a(x^2+xy+y^2)(x-2)

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factor ax^3+ax^2y+axy^2-2ax^2-2axy-2ay^2

factor

a x^{3} + a x^{2} y + a x y^{2} - 2 a x^{2} - 2 a x y - 2 a y^{2}

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

Solution steps

a x^{3} + a x^{2} y + a x y^{2} - 2 a x^{2} - 2 a x y - 2 a y^{2}

Factor out common term

a

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

Factor

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

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

\frac{( 1.5 ) ^{2}}{( 1.5 ) ^{- 2} \cdot ( 1.5 ) ^{4}}

∣ 9 x + 6 ∣ \leq 69

\frac{1}{3} x + 1 < \frac{1}{6} x - 1

2.2 (5 - y) \geq 24.2

15 x^{2} - 1 x - 2 = 0

What is factor ax^3+ax^2y+axy^2-2ax^2-2axy-2ay^2 ?
The solution to factor ax^3+ax^2y+axy^2-2ax^2-2axy-2ay^2 is a(x^2+xy+y^2)(x-2)