SOLUTION: Factor each polynomial completely. To begin, state which method should be applied as the first step, given the guidelines of this section. Then continue the exercise and factor eac

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor each polynomial completely. To begin, state which method should be applied as the first step, given the guidelines of this section. Then continue the exercise and factor eac      Log On


   

Question 75748: Factor each polynomial completely. To begin, state which method should be applied as the first step, given the guidelines of this section. Then continue the exercise and factor each polynomial completely.
M^4 – 9n^4
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
THE FIRST STEP FOR THEE TYPE OF EQUATIONS WHERE BOTH TERMS ARE SQUARES IS TO FACTOR EACH SQUARE & THEN MAKE EACH FACTORED TERM A (-) & A (+) OF THE SQUAREROOTS. THUS:

(M^4-9N^4) THE SQUARE ROOT OF M^4 IS M^2 & THE SQUARE ROOT OF 9N^4 IS 3N^2
SO WE HAVE (M^2-3N^2)(M^2+3N^2)