SOLUTION: I don't quite understand this one. Find a value for k so that 9m^2 - kn^2 will have the factors 3m + 7n, and 3m

SOLUTION: I don't quite understand this one. Find a value for k so that 9m^2 - kn^2 will have the factors 3m + 7n, and 3m - 7n. Thanks

Question 41165: I don't quite understand this one.
Find a value for k so that 9m^2 - kn^2 will have the factors 3m + 7n, and 3m - 7n.
Thanks
Answer by vidhyak(98) (Show Source): You can put this solution on YOUR website!
Find a value for k so that 9m^2 - kn^2 will have the factors 3m + 7n, and 3m - 7n.

(a + b)(a-b) = a^2 - b^2
The factors are 3m + 7n, and 3m - 7n. Let's apply the above formula
a = 3m and b = 7n

(3m + 7n)(3m - 7n) = 9m^2 - 49n^2

Comparing 9m^2 - 49n^2 with 9m^2 - kn^2, we get k = 49
RELATED QUESTIONS
Find a value for k so that 9m ^2 - kn^2 will have the factors 3m+7n and 3m-7n (answered by jim_thompson5910)

Find a value for k so that 9m^2-kn^2 will have the factors 3m + 7n and 3m... (answered by rapaljer)

find the value for k so that 9m^2-kn^2 will have the factors 3m+7n and... (answered by malakumar_kos@yahoo.com,kamallohia)

Find a value of k so that 9m^2 � kn^2 will have the factors 3m + 7n and 3m � 7n (answered by stanbon)

Find a value for k so that 9m^2-kn^2 will have the factors 3m+7n and 3m-7n. Thanks for (answered by venugopalramana)

Factor each expression. Find a value for k so that 9m^2-kn^2 will have the factors... (answered by checkley71)

Find a value for k so that 9m squared - kn squared will have the factors 3m + 7n and 3m - (answered by stanbon,solver91311)

Please help this is confusing to me. Find a value for k so tha 9m^2 - kn^2 will have the (answered by THANApHD,jim_thompson5910)

Find a value for k so that 9m(squared)- kn(squared) will have the factors 3m + 7n and 3m... (answered by wodkit02)