Question

factor 4x^2-25y^2z^2

Answer 1

(2x+5yz)(2x-5yz) ? ? ? Is that it?

Answer 2

anyone?

Answer 3

(2x+5yz)(2x-5yz) is correct

Answer 4

4x^2 - (25y^2)(z^2)
note we have 2 squares.
the first is 4x^2 and square root of this is 2x
the 2nd is (25y^2)(z^2) made from 2 different squares.
square root of 25y^2 is 5y and square root of z^2 is z
so combined square root of (25y^2)(z^2)
is 5yz
Now you have to remember the law of the difference of two squares.
which says
(a^2)-(b^2)= (a-b)(a+b)
if a=2x, and b=5yz
then yes your answer comes out correct.
(2x+5yz)(2x-5yz)