What is factor 18x^3-24x^2*y+8x*y^2 ?

The solution to factor 18x^3-24x^2*y+8x*y^2 is 2x(3x-2y)^2

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factor 18x^3-24x^2y+8xy^2

factor

18 x^{3} - 24 x^{2} \cdot y + 8 x \cdot y^{2}

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

Solution steps

18 x^{3} - 24 x^{2} y + 8 x y^{2}

Factor out common term

2 x : 2 x (9 x^{2} - 12 x y + 4 y^{2})

= 2 x (9 x^{2} - 12 x y + 4 y^{2})

Factor

9 x^{2} - 12 x y + 4 y^{2} : (3 x - 2 y) (3 x - 2 y)

= 2 x (3 x - 2 y) (3 x - 2 y)

Apply exponent rule:

aa = a^{2}

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

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

(p - 2 q)^{3}

5 y^{3} - 4 y^{2} + 10 y - 8

l^{+} [\frac{s}{( s ^{2} + s - 2 )}]

^{'} arcsin \frac{( 1 )}{( 1 x ^{2} )}^{'}

f (x) + f (5)

What is factor 18x^3-24x^2*y+8x*y^2 ?
The solution to factor 18x^3-24x^2*y+8x*y^2 is 2x(3x-2y)^2