what is (m-5)^2-9

Question

factoring expressions

 

 

Answer 1

The expression (m-5)²-9 can be factored. Since you can take the square root of each term (m-5) and 3, this is a Difference of Squares factorization. In case you forgot this trick, when you have A²-B², it can be factored (A-B)(A+B).

OK, so you get ((m-5)-3)(m-5)+3))

Simplify each factor gives you (x-8)(x-2)

Done!

Answer 2

if it's (m-5)²-9

expand:

[(m-5)(m-5) ]- 9

factor:

m²-10m+25 - 9

combine like terms:

m²-10m+16