What is factor 30x^4y^5-15x^3y^6+5x^2y^4 ?

The solution to factor 30x^4y^5-15x^3y^6+5x^2y^4 is 5x^2y^4(6x^2y-3xy^2+1)

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factor 30x^4y^5-15x^3y^6+5x^2y^4

factor

30 x^{4} y^{5} - 15 x^{3} y^{6} + 5 x^{2} y^{4}

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

Solution steps

30 x^{4} y^{5} - 15 x^{3} y^{6} + 5 x^{2} y^{4}

Apply exponent rule:

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

x^{4} y^{5} = x^{2} x^{2} y^{4} y, x^{3} y^{6} = x^{2} x y^{4} y^{2}

= 30 x^{2} x^{2} y^{4} y - 15 x^{2} x y^{4} y^{2} + 5 x^{2} y^{4}

Rewrite

- 15

3 \cdot 5

Rewrite

30

6 \cdot 5

= 6 \cdot 5 x^{2} x^{2} y^{4} y + 3 \cdot 5 x^{2} x y^{4} y^{2} + 5 x^{2} y^{4}

Factor out common term

5 x^{2} y^{4}

= 5 x^{2} y^{4} (6 x^{2} y - 3 x y^{2} + 1)

\frac{3}{4} x + 5 = - 9

- 3 x - 9 = - 1

\frac{2 x}{7} - 3 = 2

(- \frac{1}{4 x ^{2}})^{2}

x^{2} + x - 0.75 = 0

What is factor 30x^4y^5-15x^3y^6+5x^2y^4 ?
The solution to factor 30x^4y^5-15x^3y^6+5x^2y^4 is 5x^2y^4(6x^2y-3xy^2+1)