What is factor 1-2a^3+a^6 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 1-2a^3+a^6

factor

1 - 2 a^{3} + a^{6}

(a - 1)^{2} (a^{2} + a + 1)^{2}

Solution steps

1 - 2 a^{3} + a^{6}

Write in the standard form

= a^{6} - 2 a^{3} + 1

Use the rational root theorem

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

\frac{a ^{6} - 2 a ^{3} + 1}{a - 1} = a^{5} + a^{4} + a^{3} - a^{2} - a - 1

= (a - 1) (a^{5} + a^{4} + a^{3} - a^{2} - a - 1)

Factor

a^{5} + a^{4} + a^{3} - a^{2} - a - 1 : (a^{2} + a + 1) (a - 1) (a^{2} + a + 1)

= (a - 1) (a^{2} + a + 1) (a - 1) (a^{2} + a + 1)

Simplify

= (a - 1)^{2} (a^{2} + a + 1)^{2}

(x + 8) 2 = - 2 x

s^{2} + 4 = 0

m^{2} - 16 - n^{2} + 36 + 12 m - 8 n

36 x^{2} - 12 x y + y^{2}

(- 2)^{8}

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