SOLUTION: I can't figure this one out. I need to factor this 36x^4y^2 - 49z^4. Can you help me PLEASE? Another one giving me trouble is factoring x^2 -5x -14.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I can't figure this one out. I need to factor this 36x^4y^2 - 49z^4. Can you help me PLEASE? Another one giving me trouble is factoring x^2 -5x -14.      Log On


   

Question 31903This question is from textbook Intermeadiate Algebra
: I can't figure this one out. I need to factor this 36x^4y^2 - 49z^4. Can you help me PLEASE? Another one giving me trouble is factoring x^2 -5x -14. This question is from textbook Intermeadiate Algebra

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+36x%5E4y%5E2+-+49z%5E4+
this is the difference of two squares and follows the form:
+x%5E2-y%5E2+=+%28x-y%29%28x%2By%29+
find the square root of each term
+%286x%5E2y-7z%5E2%29%286x%5E2y%2B7z%5E2%29+
This is as far as it can be factored



Next
+x%5E2+-5x+-14+
With this, as yourself what two numbers, when multiplied give you 14, but when added or subtracted give you 5.
The answer is 7 and 2.
+%28x-7%29%28x%2B2%29+
The have opposite signs because the 14 is negative. And because the middle term is also negative, the larger of the two values has to be the negative one.