# Which binomial is a factor of 9x^{2} - 64?

3x - 8, 9x - 32, 3x + 32, 9x + 8

**Solution: **

Factors of the expressions can be identified by different methods like factorizing the terms, taking common terms in the expression, or identifying it by a formula.

In the given problem, we use the algebraic identity which is a^{2 }- b^{2} = (a + b)(a - b) as shown below:

Given, 9x^{2} - 64 ⇒ (3x)^{2} - 8^{2 }--- (1)

From (1), a = 3x and b = 8

Therefore, (3x)^{2} - 8^{2} = (3x + 8)(3x - 8)

Thus among the options given, 3x - 8 is the binomial factor of 9x^{2} - 64.

## Which binomial is a factor of 9x^{2} - 64?

**Summary: **

Binomial factor of 9x^{2} - 64 is (3x - 8)