What is factor 12x^3*y-8x^5*y^2+4x^2*y^5 ?

The solution to factor 12x^3*y-8x^5*y^2+4x^2*y^5 is 4x^2y(3x-2x^3y+y^4)

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factor 12x^3y-8x^5y^2+4x^2*y^5

factor

12 x^{3} \cdot y - 8 x^{5} \cdot y^{2} + 4 x^{2} \cdot y^{5}

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

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{3} y = x^{2} x y, x^{5} y^{2} = x^{2} x^{3} yy, x^{2} y^{5} = x^{2} y y^{4}

= 12 x^{2} x y - 8 x^{2} x^{3} yy + 4 x^{2} y y^{4}

Rewrite

- 8

2 \cdot 4

Rewrite

12

3 \cdot 4

= 3 \cdot 4 x^{2} x y + 2 \cdot 4 x^{2} x^{3} yy + 4 x^{2} y y^{4}

Factor out common term

4 x^{2} y

= 4 x^{2} y (3 x - 2 x^{3} y + y^{4})

lo g_{10} (\frac{x + 1}{x})

\frac{( x ^{\frac{2}{3}} )}{( x ^{- \frac{1}{3}} )}

16 x^{4} + 8 x^{2} \cdot y + y^{2}

3 x + (- x + 2 y - z)

(x + 2)^{3} + 2744

What is factor 12x^3*y-8x^5*y^2+4x^2*y^5 ?
The solution to factor 12x^3*y-8x^5*y^2+4x^2*y^5 is 4x^2y(3x-2x^3y+y^4)