Calculation:

Given that the two expression are \(20x^{3} + 8x^{2}\) and \(20x^{3} + 10x\).

In order to factor the expressions \(20x^{3} + 8x^{2}\) and \(20x^{3} + 10x\), to find the greatest common factor of both term in given expression and factor out the GCF.

Thus, factor the term \(20x^{3}\) depends on the second term of given expression.

Since the greatest common factor of \(20x^{3}\) and \(8x^{2}\) is \(4x^{2}\), the term \(20x^{3}\) can be written as \(5x-4x^{2}\).

The greatest common factor of \(20x^{3}\) and 10x is 10x, then the term \(20x^{3}\) can be written as \(10x*2x^{2}\).

Therefore, factor \(20x^{3}\) in different ways to obtain each polynomial factorization.

Hence, the statement makes sence.

Given that the two expression are \(20x^{3} + 8x^{2}\) and \(20x^{3} + 10x\).

In order to factor the expressions \(20x^{3} + 8x^{2}\) and \(20x^{3} + 10x\), to find the greatest common factor of both term in given expression and factor out the GCF.

Thus, factor the term \(20x^{3}\) depends on the second term of given expression.

Since the greatest common factor of \(20x^{3}\) and \(8x^{2}\) is \(4x^{2}\), the term \(20x^{3}\) can be written as \(5x-4x^{2}\).

The greatest common factor of \(20x^{3}\) and 10x is 10x, then the term \(20x^{3}\) can be written as \(10x*2x^{2}\).

Therefore, factor \(20x^{3}\) in different ways to obtain each polynomial factorization.

Hence, the statement makes sence.