Question

4x^2-100y^2
$4x {}^{2} - 100y {}^{2}$
​

Answer 1

Step-by-step explanation:

4x^2-100y^2

=(2x)^2-(10y)^2

=(2x-10y)(2x+10y)

Answer 2

Explanation:

$4x {}^{2} - 100y {}^{2}$

$= (2x) {}^{2} - (10y) {}^{2}$

$= (2x + 10y)(2x - 10y)$

[because a^2 - b^2 = (a+b) (a-b) ]

$= (2)(x + 5y)(2)(x - 5y)$

$= (4)(x + 5y)(x - 5y)$

OR

$4x {}^{2} - 100y {}^{2}$

$= 4(x {}^{2} - 25y {}^{2} )$

$= 4(x {}^{2} - (5y {}^{2} ))$

$= 4(x + 5y)(x - 5y)$

Answer: 4(x+5y)(x-5y)

Hope this helps, buddy.