Algebra Examples

x^{2} + 1

$x^{2} + 1$

Step 1

Multiply the constant in the polynomial

x^{2} + 1

$x^{2} + 1$ by

- i^{2}

$- i^{2}$ where

i^{2}

$i^{2}$ is equal to

- 1

$- 1$ .

x^{2} - 1 i^{2}

$x^{2} - 1 i^{2}$

Step 2

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 = i

$i = i$ .

(x + i) (x - i)

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

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