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Factor out the greatest common factor:

\[ 25x^3 + 10x^2 + 5x \]

Answer :

The greatest common factor would be 5x because all the variables can be divided by 5x.

The answer itself already factored would be

5x(5x^2+2x+1)

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Rewritten by : Barada

The simplified expression is 5x (5x² + 2x + 1), which has the greatest common factor is 5x.

The expression is given as follows:

25x³+10x²+5x

To factor out the greatest common factor (GCF) from the expression 25x³ + 10x² + 5x, we first identify the common factor of all the terms. In this case, the common factor is 5x. We then divide each term by 5x:

25x³ / (5x) = 5x²

10x² / (5x) = 2x

5x / (5x) = 1

Now we can express the original expression as the product of the GCF (5x) and the simplified expression:

25x³ + 10x² + 5x = 5x (5x² + 2x + 1).

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Factor out a greatest common factor

25x³+10x²+5x