How do you factor the expression #49 - (x+2)^2#?
1 Answer
Jan 24, 2016
Use the difference of squares identity to find:
#49-(x+2)^2=(5-x)(9+x)#
Explanation:
The difference of squares identity can be written:
#a^2-b^2 = (a-b)(a+b)#
In our example, we can put
#49-(x+2)^2#
#=7^2-(x+2)^2#
#=(7-(x+2))(7+(x+2))#
#=(5-x)(9+x)#