Algebra Examples

$y^{2} - {(5 x - 3)}^{2}$

Step 1

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = y$ and $b = 5 x - 3$ .

$(y + 5 x - 3) (y - (5 x - 3))$

Step 2

Simplify.

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Step 2.1

Apply the distributive property.

$(y + 5 x - 3) (y - (5 x) - - 3)$

Step 2.2

Multiply $5$ by $- 1$ .

$(y + 5 x - 3) (y - 5 x - - 3)$

Step 2.3

Multiply $- 1$ by $- 3$ .

$(y + 5 x - 3) (y - 5 x + 3)$