What is factor 18r^3t^2+12r^2t^2-6r^2t ?

The solution to factor 18r^3t^2+12r^2t^2-6r^2t is 6r^2t(3rt+2t-1)

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factor 18r^3t^2+12r^2t^2-6r^2t

factor

18 r^{3} t^{2} + 12 r^{2} t^{2} - 6 r^{2} t

6 r^{2} t (3 r t + 2 t - 1)

Solution steps

18 r^{3} t^{2} + 12 r^{2} t^{2} - 6 r^{2} t

Apply exponent rule:

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

r^{3} t^{2} = r^{2} r tt, r^{2} t^{2} = r^{2} tt

= 18 r^{2} r tt + 12 r^{2} tt - 6 r^{2} t

Rewrite

12

2 \cdot 6

Rewrite

18

3 \cdot 6

= 3 \cdot 6 r^{2} r tt + 2 \cdot 6 r^{2} tt - 6 r^{2} t

Factor out common term

6 r^{2} t

= 6 r^{2} t (3 r t + 2 t - 1)

- 61 = 3 m - 4

n^{2} \cdot n^{2}

2 x^{2} + 9 x - 8 = 0

2 x^{2} - 40 x + 200

n^{2} + 3 n - 28

What is factor 18r^3t^2+12r^2t^2-6r^2t ?
The solution to factor 18r^3t^2+12r^2t^2-6r^2t is 6r^2t(3rt+2t-1)