Basic Math Examples

$4 a^{2} - {(b - 1)}^{2}$

Step 1

Rewrite $4 a^{2}$ as ${(2 a)}^{2}$ .

${(2 a)}^{2} - {(b - 1)}^{2}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 2 a$ and $b = b - 1$ .

$(2 a + b - 1) (2 a - (b - 1))$

Step 3

Simplify.

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Step 3.1

Apply the distributive property.

$(2 a + b - 1) (2 a - b - - 1)$

Step 3.2

Multiply $- 1$ by $- 1$ .

$(2 a + b - 1) (2 a - b + 1)$