Question

factor completely x²-16y²

Answer 1

[x^2-16y^2]
[(x)^2-(4y)^2]
(x+4)(x-4)

Answer 2

Answer:

$(x+4y)(x-4y)$

Step-by-step explanation:

Given : $x^2-16y^2$

To Find: Factorize

Solution:

$x^2-16y^2$

Since 16 is the square of 4

So, 16 can be written as $4^{2}$

$x^2-(4y)^2$

Now property: $a^2-b^2=(a+b)(a-b)$

Applying the property

$(x+4y)(x-4y)$

Hence the after factoring completely  $x^2-16y^2$ we get $(x+4y)(x-4y)$