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OpenStudy (anonymous):
Factor completely: 16m2 – 25n2
OpenStudy (anonymous):
these are difference of squares factoring... are you familiar with how to do this?
OpenStudy (anonymous):
no because there are no number that can go into both numbers an they have different letters
OpenStudy (anonymous):
would it be 2m+6m+5m+5m?
OpenStudy (anonymous):
5n+5N*
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OpenStudy (anonymous):
There is a method on how to factor this called "difference of squares".
Its when you have a first number that is a perfect square minus a second number that is a perfect square.
16, m^2 and 25, n^2 are perfect squares.
Have you heard of this before?
OpenStudy (anonymous):
2M+8m+5n+5n
OpenStudy (anonymous):
nope
OpenStudy (anonymous):
Okay so this is how the formula looks:
a^2-b^2 (a and b stand for any perfect square numbers)
this factors to (a-b)(a+b)
understand that?
OpenStudy (anonymous):
yea
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OpenStudy (anonymous):
would it be 4-4 and 5+5?
OpenStudy (anonymous):
(m-4) (m+4)
OpenStudy (anonymous):
and (n-5) (n+5)
OpenStudy (anonymous):
are u still there?
OpenStudy (anonymous):
sorry, I had to go for a minute. You are close, but not quite. Hint: "a"=4m and "b"=5n
can you try that now?
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