# The term 20x^{3} appears in both the expressions 20x^{3} + 8x^{2} and 20x^{3} + 10x but factor 20x^{3} in different ways to obtain each polynomial factorization Whether the given statement make sense or does not make sence.

The term $20{x}^{3}$ appears in both the expressions $20{x}^{3}+8{x}^{2}$ and $20{x}^{3}+10x$ but factor $20{x}^{3}$ in different ways to obtain each polynomial factorization Whether the given statement make sense or does not make sence.
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Calculation:
Given that the two expression are $20{x}^{3}+8{x}^{2}$ and $20{x}^{3}+10x$.
In order to factor the expressions $20{x}^{3}+8{x}^{2}$ and $20{x}^{3}+10x$, to find the greatest common factor of both term in given expression and factor out the GCF.
Thus, factor the term $20{x}^{3}$ depends on the second term of given expression.
Since the greatest common factor of $20{x}^{3}$ and $8{x}^{2}$ is $4{x}^{2}$, the term $20{x}^{3}$ can be written as $5x-4{x}^{2}$.
The greatest common factor of $20{x}^{3}$ and 10x is 10x, then the term $20{x}^{3}$ can be written as $10x\ast 2{x}^{2}$.
Therefore, factor $20{x}^{3}$ in different ways to obtain each polynomial factorization.
Hence, the statement makes sence.