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Anonymous Anonymous
  • 04-12-2013
  • Mathematics
Answered

Find the GCF of each expression. Then factor the expression. 25b^2 - 20b

Verified Answer :

xxx102
xxx102 xxx102
  • 05-12-2013

Hello!

The prime factors of these two numbres are :

\(25b^2 = 5^2\times b^2\\ 20b = 5\times 2^2 \times b\)

The GCF can be calculated by multiplying common primes factors :
\(5\times b = 5b\)

So the GCF is 5b and the expression can be factored this way :
\(25b^2 - 20b = 5b\times 5b - 4\times 5b = 5b\left(5b-4\right)\)

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