SOLUTION: Factor each polynomial completely. To begin, state which method should be applied as the first step. Continue the exercise and factor each polynomial completely. 2p - 6q + pq -

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor each polynomial completely. To begin, state which method should be applied as the first step. Continue the exercise and factor each polynomial completely. 2p - 6q + pq -       Log On


   

Question 114379: Factor each polynomial completely. To begin, state which method should be applied as the first step. Continue the exercise and factor each polynomial completely.
2p - 6q + pq - 3q squared

m to the 4th power - 9n to the 4th power
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2p-6q%2Bpq-3q%5E2 Start with the given expression

%282p-6q%29%2B%28pq-3q%5E2%29 Group like terms


2%28p-3q%29%2Bq%28p-3q%29 Factor out the GCF of 2 out of the first group. Factor out the GCF of q out of the second group


%282%2Bq%29%28p-3q%29 Since we have a common term of p-3q, we can combine like terms

So 2p-6q%2Bpq-3q%5E2 factors to %282%2Bq%29%28p-3q%29


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m%5E4-9n%5E4 Start with the given expression


%28m%5E2%29%5E2-%283n%5E2%29%5E2 Rewrite the expression as a difference of squares


%28m%5E2-3n%5E2%29%28m%5E2%2B3n%5E2%29 Factor using the difference of squares