Factor out the greatest common factor:
\[ 25x^3 + 10x^2 + 5x \]
Answer (3)
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)
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).
Learn more about the highest common factor here:
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Factor out a greatest common factor
25x³+10x²+5x
The greatest common factor of the expression 25 x 3 + 10 x 2 + 5 x is 5 x . When factored out, the expression simplifies to 5 x ( 5 x 2 + 2 x + 1 ) .
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