Algebra Examples

1 - y^{3}

$1 - y^{3}$

Step 1

Rewrite

1

$1$ as

1^{3}

$1^{3}$ .

1^{3} - y^{3}

$1^{3} - y^{3}$

Step 2

Since both terms are perfect cubes, factor using the difference of cubes formula,

a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})

$a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$ where

a = 1

$a = 1$ and

b = y

$b = y$ .

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

$(1 - y) (1^{2} + 1 y + y^{2})$

Step 3

Simplify.

Tap for more steps...

Step 3.1

One to any power is one.

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

$(1 - y) (1 + 1 y + y^{2})$

Step 3.2

Multiply

y

$y$ by

1

$1$ .

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

$(1 - y) (1 + y + y^{2})$

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

$(1 - y) (1 + y + y^{2})$

$1 - y^{3}$

(

)

[

]

√



≥

















≤















∩

∪







∞











