What is factor 6st^2-18st+6t^4+18t^3 ?

The solution to factor 6st^2-18st+6t^4+18t^3 is 6t(st-3s+t^3+3t^2)

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factor 6st^2-18st+6t^4+18t^3

factor

6 s t^{2} - 18 s t + 6 t^{4} + 18 t^{3}

6 t (s t - 3 s + t^{3} + 3 t^{2})

Solution steps

6 s t^{2} - 18 s t + 6 t^{4} + 18 t^{3}

Apply exponent rule:

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

s t^{2} = tt, t^{4} = t t^{3}, t^{3} = t t^{2}

= 6 tt - 18 s t + 6 tt t^{2} + 18 t t^{2}

Rewrite

18

3 \cdot 6

Rewrite

- 18

3 \cdot 6

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

Factor out common term

6 t

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

lo g_{4} (\frac{1}{2}) = x

lo g_{3} (- 27)

- 4 (x + 2) \leq 3 (x - 5)

\frac{e ^{- 3 x}}{e ^{3 x}}

- 10 < - 2 z - 2 < 12

What is factor 6st^2-18st+6t^4+18t^3 ?
The solution to factor 6st^2-18st+6t^4+18t^3 is 6t(st-3s+t^3+3t^2)