What is factor 6e^6+18e^4-24e^3+3e^2 ?

The solution to factor 6e^6+18e^4-24e^3+3e^2 is 3e^2(2e^4+6e^2-8e+1)

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factor 6e^6+18e^4-24e^3+3e^2

factor

6 e^{6} + 18 e^{4} - 24 e^{3} + 3 e^{2}

3 e^{2} (2 e^{4} + 6 e^{2} - 8 e + 1)

Solution steps

6 e^{6} + 18 e^{4} - 24 e^{3} + 3 e^{2}

Apply exponent rule:

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

e^{3} = e e^{2}

= 6 e^{4} e^{2} + 18 e^{2} e^{2} - 24 e e^{2} + 3 e^{2}

Rewrite

24

3 \cdot 8

Rewrite

18

3 \cdot 6

= 3 \cdot 2 e^{4} e^{2} + 3 \cdot 3 \cdot 2 e^{2} e^{2} - 3 \cdot 8 e e^{2} + 3 e^{2}

Factor out common term

3 e^{2}

= 3 e^{2} (2 e^{4} + 6 e^{2} - 8 e + 1)

2 π r^{2} + 2 π r + h r + h

x^{2} - 1 + x^{2} - x - 2

(2 r)^{2} + 12 r + 9

(cosh (2 x))^{2}

(2Δ x) - 1

What is factor 6e^6+18e^4-24e^3+3e^2 ?
The solution to factor 6e^6+18e^4-24e^3+3e^2 is 3e^2(2e^4+6e^2-8e+1)