# What is a factor of 144 − 49x^{2}?

**Solution:**

An algebraic expression is a mathematical phrase that contains integral or fractional constants (numbers), variables (alphabets), and algebraic operators (such as addition, subtraction, division, multiplication, etc.) operating on them.

144 − 49x^{2} [Given]

Now use the algebraic identity

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

According to the formula

a = 12 and b = 7x

We can write it as

12^{2} - (7x)^{2} = (12 + 7x) (12 - 7x)

Therefore, the factor of 144 − 49x^{2} is (12 + 7x) (12 - 7x).

## What is a factor of 144 − 49x^{2}?

**Summary:**

The factor of 144 − 49x^{2} is (12 + 7x) (12 - 7x).