What is factor 1+1000y^3 ?

The solution to factor 1+1000y^3 is (10y+1)(100y^2-10y+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 1+1000y^3

factor

1 + 1000 y^{3}

(10 y + 1) (100 y^{2} - 10 y + 1)

Solution steps

1 + 1000 y^{3}

Write in the standard form

= 1000 y^{3} + 1

Apply exponent rules

= (10 y)^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

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

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

1 0^{2} = 100

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

9 x^{2} + 3 x (x - 2)

\frac{x}{x ^{2} + 5 x + 6} - \frac{2}{x ^{2} + 3 x + 2}

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

- 5 - - 44

\frac{42}{63}

What is factor 1+1000y^3 ?
The solution to factor 1+1000y^3 is (10y+1)(100y^2-10y+1)