What is factor 3s^4+6s^3+27s^2 ?

The solution to factor 3s^4+6s^3+27s^2 is 3s^2(s^2+2s+9)

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factor 3s^4+6s^3+27s^2

factor

3 s^{4} + 6 s^{3} + 27 s^{2}

3 s^{2} (s^{2} + 2 s + 9)

Solution steps

3 s^{4} + 6 s^{3} + 27 s^{2}

Apply exponent rule:

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

s^{3} = s s^{2}

= 3 s^{2} s^{2} + 6 s s^{2} + 27 s^{2}

Rewrite

6

3 \cdot 2

Rewrite

27

3 \cdot 9

= 3 s^{2} s^{2} + 3 \cdot 2 s s^{2} + 3 \cdot 9 s^{2}

Factor out common term

3 s^{2}

= 3 s^{2} (s^{2} + 2 s + 9)

\frac{2}{1} + \frac{2}{3}

2 \div 1 \frac{1}{2}

3.99

\frac{\frac{x ^{2} - 4}{x - 2}}{\frac{x + 2}{x - 2}}

- (2 x)^{3}

What is factor 3s^4+6s^3+27s^2 ?
The solution to factor 3s^4+6s^3+27s^2 is 3s^2(s^2+2s+9)