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Popular >

factor 3x^2y-9x^3y^3

Solution

factor

3 x^{2} y - 9 x^{3} y^{3}

Solution

3 x^{2} y (1 - 3 x y^{2})

Solution steps

3 x^{2} y - 9 x^{3} y^{3}

Apply exponent rule:

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

x^{3} y^{3} = x^{2} x y y^{2}

= 3 x^{2} y - 9 x^{2} x y y^{2}

Rewrite

- 9

as

3 \cdot 3

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

Factor out common term

3 x^{2} y

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

Popular Examples

simplify-5-9 simplify

- 5 - 9

factor 25p^2-9 factor

25 p^{2} - 9

6-(3x+10)+4(2-x)=15

6 - (3 x + 10) + 4 (2 - x) = 15

1-(2x+5)/7 =-x+(3-x)/2

1 - \frac{2 x + 5}{7} = - x + \frac{3 - x}{2}

simplify (3x^2y^2)/(6xy)simplify

\frac{3 x ^{2} y ^{2}}{6 x y}

Frequently Asked Questions (FAQ)

What is factor 3x^2y-9x^3y^3 ?
The solution to factor 3x^2y-9x^3y^3 is 3x^2y(1-3xy^2)