Answer
a) $4(x+5)(x-5)$
b) $4(x+5) (x-5)$
c) You can do it in both ways because the expressions has the conditions of both properties. You can do math multiple ways and get the same answer.
d) No. You can do it the way in part a, but it doesn't allow for the conditions in part b, as $3x^2 -75$ cannot apply to the difference of squares rule because both terms aren't squares.
Work Step by Step
a)
$4(x^2-25)$
$4(x+5)(x-5)$
b)
$(2x+10)(2x-10)$
$2(x+5)*2(x-5)$
$4(x+5)(x-5)$
c) You can do it in both ways because the expressions has the conditions of both properties. You can do math multiple ways and get the same answer.
d) No. You can do it the way in part a, but it doesn't allow for the conditions in part b, as $3x^2 -75$ cannot apply to the difference of squares rule because both terms aren't squares.
