# How can we factorize 16x-49?

Mar 17, 2017

As here is no common factor between two monomials of $16 x - 49$ i.e. $16 x$ and $49$, one can say $16 x - 49$ cannot be factorized further or it is factored completely.

Mar 17, 2017

$16 x - 49$ cannot be factored

but $16 {x}^{2} - 49$ is the difference of squares.

#### Explanation:

$16 x - 49$ cannot be factored at all.

There is no common factor, and this is not a quadratic.

However this is very similar to $16 {x}^{2} - 49$ which can be factored because both terms are now perfect squares.

$16 {x}^{2} - 49 = \left(4 x + 7\right) \left(4 x - 7\right)$