Question

Which expression is equivalent to 169x2−36
?

Answer 1

The expression
`\(169x^2 - 36\)` is equivalent to
`\((13x + 6)(13x - 6)\).`

Let's simplify the expression
`\(169x^2 - 36\)` step by step:

Step 1: Start with the given expression:
`\(169x^2 - 36\)`

Step 2: Recognize that
`\(169x^2\)` is a perfect square, as
`\(13^2 = 169\)`.

Step 3: Rewrite the expression using the difference of squares formula:
`\(169x^2 - 36 = (13x)^2 - 6^2\)`

Step 4: Apply the difference of squares formula:
`\(a^2 - b^2 = (a + b)(a - b)\)`

`\((13x)^2 - 6^2 = (13x + 6)(13x - 6)\)`

So, the expression
`\(169x^2 - 36\)` is equivalent to
`\((13x + 6)(13x - 6)\).`

The probable question may be:

"Which expression is equivalent to
`169x^2-36`?"