What is factor 9r^3s^2-30rs^3 ?

The solution to factor 9r^3s^2-30rs^3 is 3rs^2(3r^2-10s)

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factor 9r^3s^2-30rs^3

factor

9 r^{3} s^{2} - 30 r s^{3}

3 r s^{2} (3 r^{2} - 10 s)

Solution steps

9 r^{3} s^{2} - 30 r s^{3}

Apply exponent rule:

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

r^{3} s^{2} = r r^{2} s^{2}, r s^{3} = r s^{2} s

= 9 r r^{2} s^{2} - 30 r s^{2} s

Rewrite

- 30

10 \cdot 3

Rewrite

9

3 \cdot 3

= 3 \cdot 3 r r^{2} s^{2} + 10 \cdot 3 r s^{2} s

Factor out common term

3 r s^{2}

= 3 r s^{2} (3 r^{2} - 10 s)

\frac{1}{16} \cdot 4

(x - 2) (x + 5) = 0

(3 x)^{\frac{4}{5}}

- 12 + \frac{n}{10} > - 7

6 (7 x - 1) = 43 x

What is factor 9r^3s^2-30rs^3 ?
The solution to factor 9r^3s^2-30rs^3 is 3rs^2(3r^2-10s)