SOLUTION: How Would i Factor these ? . 1- 4x^3y^5z^2 - 12x^4y^6z^4 + 16x^2y^5z^3. 2- 9xy + 15xz - 30xw. 3- 25x^2 - 36.

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: How Would i Factor these ? . 1- 4x^3y^5z^2 - 12x^4y^6z^4 + 16x^2y^5z^3. 2- 9xy + 15xz - 30xw. 3- 25x^2 - 36.       Log On


   



Question 114002: How Would i Factor these ? .
1- 4x^3y^5z^2 - 12x^4y^6z^4 + 16x^2y^5z^3.
2- 9xy + 15xz - 30xw.
3- 25x^2 - 36.

Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
#1


4x%5E3y%5E5z%5E2-12x%5E4y%5E6z%5E4%2B16x%5E2y%5E5z%5E3 Start with the given expression


4x%5E2y%5E5z%5E2%28x-3x%5E2yz%5E2%2B4z%29 Factor out the GCF 4x%5E2y%5E5z%5E2




#2


9xy%2B15xz-30xw Start with the given expression


3x%283y%2B5z-10w%29 Factor out the GCF 3x




#3
25x%5E2+-+36 Start with the given expression


%285x%29%5E2-6%5E2 Rewrite the expression in terms of squares


%285x%2B6%29%285x-6%29 Factor using the difference of squares.

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
first you look for a common factor of the integers
then look for common unknown factors (x,y,z)
then extract all common factors.
4x^3y^5z^2-12x^4y^6z^4+16x^2y^5z^3 here we have a common integer factor of 4,a common x factor of (x^2),a common y factor of (y^5) & a common z factor of (z^2)
now extract all these common factors from each term thus:
4x^2^y^5z^2(x-3x^2yz^2+4z) answer.