High School

We appreciate your visit to Factor tex 16x 2 169y 2 tex tex 16x 2 169y 2 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Factor [tex]$16x^2 - 169y^2$[/tex].

[tex]$16x^2 - 169y^2 =$[/tex]

Answer :

Sure! Let's factor the expression [tex]\(16x^2 - 169y^2\)[/tex]. This expression is a difference of squares. The difference of squares formula is:

[tex]\[ a^2 - b^2 = (a - b)(a + b) \][/tex]

Here, we need to identify [tex]\(a^2\)[/tex] and [tex]\(b^2\)[/tex] in our expression.

First, let's rewrite [tex]\(16x^2\)[/tex] and [tex]\(169y^2\)[/tex] as squares:
[tex]\[ 16x^2 = (4x)^2 \][/tex]
[tex]\[ 169y^2 = (13y)^2 \][/tex]

So our expression [tex]\(16x^2 - 169y^2\)[/tex] can be rewritten as:
[tex]\[ (4x)^2 - (13y)^2 \][/tex]

Now, apply the difference of squares formula where [tex]\(a = 4x\)[/tex] and [tex]\(b = 13y\)[/tex]:
[tex]\[ (4x)^2 - (13y)^2 = (4x - 13y)(4x + 13y) \][/tex]

Thus, the factored form of [tex]\(16x^2 - 169y^2\)[/tex] is:
[tex]\[ (4x - 13y)(4x + 13y) \][/tex]

Thanks for taking the time to read Factor tex 16x 2 169y 2 tex tex 16x 2 169y 2 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada