What is factor 4xy-8x^2y+24x^4y^5 ?

The solution to factor 4xy-8x^2y+24x^4y^5 is 4xy(1-2x+6x^3y^4)

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factor 4xy-8x^2y+24x^4y^5

factor

4 x y - 8 x^{2} y + 24 x^{4} y^{5}

4 x y (1 - 2 x + 6 x^{3} y^{4})

Solution steps

4 x y - 8 x^{2} y + 24 x^{4} y^{5}

Apply exponent rule:

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

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

= 4 x y - 8 xx y + 24 x x^{3} y y^{4}

Rewrite

24

6 \cdot 4

Rewrite

- 8

2 \cdot 4

= 4 x y + 2 \cdot 4 xx y + 6 \cdot 4 x x^{3} y y^{4}

Factor out common term

4 x y

= 4 x y (1 - 2 x + 6 x^{3} y^{4})

3 j^{2} + 10 j + 7

4 x + 6 < 3 x - 5

f = (\frac{1}{7})^{2}

0.25 k + 1.5 - k - 3.5

\frac{100}{25}

What is factor 4xy-8x^2y+24x^4y^5 ?
The solution to factor 4xy-8x^2y+24x^4y^5 is 4xy(1-2x+6x^3y^4)