Algebra Examples

4 x^{2} - 25

$4 x^{2} - 25$

Step 1

Rewrite

4 x^{2}

$4 x^{2}$ as

{(2 x)}^{2}

${(2 x)}^{2}$ .

{(2 x)}^{2} - 25

${(2 x)}^{2} - 25$

Step 2

Rewrite

25

$25$ as

5^{2}

$5^{2}$ .

{(2 x)}^{2} - 5^{2}

${(2 x)}^{2} - 5^{2}$

Step 3

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

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

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

a = 2 x

$a = 2 x$ and

b = 5

$b = 5$ .

(2 x + 5) (2 x - 5)

$(2 x + 5) (2 x - 5)$

Enter a problem...

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$