Examples

x^{2} + 36

$x^{2} + 36$

Step 1

Multiply the constant in the polynomial

x^{2} + 36

$x^{2} + 36$ by

- i^{2}

$- i^{2}$ where

i^{2}

$i^{2}$ is equal to

- 1

$- 1$ .

x^{2} - 36 i^{2}

$x^{2} - 36 i^{2}$

Step 2

Rewrite

36 i^{2}

$36 i^{2}$ as

{(6 i)}^{2}

${(6 i)}^{2}$ .

x^{2} - {(6 i)}^{2}

$x^{2} - {(6 i)}^{2}$

Step 3

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

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

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

a = x

$a = x$ and

i = 6 i

$i = 6 i$ .

(x + 6 i) (x - (6 i))

$(x + 6 i) (x - (6 i))$

Step 4

Multiply

6

$6$ by

- 1

$- 1$ .

(x + 6 i) (x - 6 i)

$(x + 6 i) (x - 6 i)$

Enter YOUR Problem