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

Sagot :

xxx102
Hello!

The prime factors of these two numbres are :

[tex]25b^2 = 5^2\times b^2\\ 20b = 5\times 2^2 \times b[/tex]

The GCF can be calculated by multiplying common primes factors :
[tex]5\times b = 5b[/tex]

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