What is factor 1+1000x^6 ?

The solution to factor 1+1000x^6 is (10x^2+1)(100x^4-10x^2+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 1+1000x^6

factor

1 + 1000 x^{6}

(10 x^{2} + 1) (100 x^{4} - 10 x^{2} + 1)

Solution steps

1 + 1000 x^{6}

Write in the standard form

= 1000 x^{6} + 1

Apply exponent rules

= (10 x^{2})^{3} + 1^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(10 x^{2})^{3} + 1^{3} = (10 x^{2} + 1) (1 0^{2} x^{4} - 10 x^{2} + 1)

= (10 x^{2} + 1) (1 0^{2} x^{4} - 10 x^{2} + 1)

1 0^{2} = 100

= (10 x^{2} + 1) (100 x^{4} - 10 x^{2} + 1)

\frac{t}{t}

(- 3^{3})^{\frac{1}{3}}

\frac{9 x ^{2} - 4}{3 x - 2}

\frac{ln ( 1.001 )}{1.001 - 1}

(3 x + 7 y) (3 x^{2} - 4 x y + 2 y^{2})

What is factor 1+1000x^6 ?
The solution to factor 1+1000x^6 is (10x^2+1)(100x^4-10x^2+1)