What is factor a^2-2a^3+3a^4-4a^5+6a^6 ?

The solution to factor a^2-2a^3+3a^4-4a^5+6a^6 is a^2(1-2a+3a^2-4a^3+6a^4)

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factor a^2-2a^3+3a^4-4a^5+6a^6

factor

a^{2} - 2 a^{3} + 3 a^{4} - 4 a^{5} + 6 a^{6}

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

Solution steps

a^{2} - 2 a^{3} + 3 a^{4} - 4 a^{5} + 6 a^{6}

Apply exponent rule:

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

a^{3} = a a^{2}

= a^{2} - 2 a a^{2} + 3 a^{2} a^{2} - 4 a^{3} a^{2} + 6 a^{4} a^{2}

Factor out common term

a^{2}

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

- (- 52 - 28) = (- 40 + t) - (- 40)

(\frac{1}{3} (3 x)^{- \frac{2}{3}} \cdot 3)^{2}

z^{2} + ∣ z ∣ = 0

y^{2} - y - 6

(x - 6) (x - 2) = - 4

What is factor a^2-2a^3+3a^4-4a^5+6a^6 ?
The solution to factor a^2-2a^3+3a^4-4a^5+6a^6 is a^2(1-2a+3a^2-4a^3+6a^4)