Find the greatest common factor (GCF) of the expression. Then factor the expression.

\[ 25b^2 - 20b \]

The **GCF **of 25b^2 and -20b is 5b. When we factor the **expression **25b^2 - 20b, we get 5b(b - 4). ;

Answered by daljeetira | 2024-06-18

Hello!
The prime factors of these two numbres are :
25 b 2 = 5 2 × b 2 20 b = 5 × 2 2 × b
The GCF can be calculated by multiplying common primes factors : 5 × b = 5 b
So the GCF is 5b and the expression can be factored this way : 25 b 2 − 20 b = 5 b × 5 b − 4 × 5 b = 5 b ( 5 b − 4 )

Answered by xxx102 | 2024-06-24

The greatest common factor (GCF) of the expression 25 b 2 − 20 b is 5 b . Factoring out the GCF gives us 5 b ( 5 b − 4 ) . Therefore, the expression is factored as 5 b ( 5 b − 4 ) .
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Answered by xxx102 | 2024-12-17