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Factor the polynomial by its greatest common monomial factor.
20y^6-15y^4+40y^2=20y
6
−15y
4
+40y
2
=20, y, start superscript, 6, end superscript, minus, 15, y, start superscript, 4, end superscript, plus, 40, y, squared, equals

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kudzordzifrancis

Answer:

[tex]5 {y}^{2} (4 {y}^{4} - 3 {y}^{2} + 8)[/tex]

Step-by-step explanation:

We want to factor the common monomial out of :

[tex]20 {y}^{6} - 15 {y}^{4} + 40 {y}^{2} [/tex]

The greatest common monomial fact is

[tex]5 {y}^{2} [/tex]

We factor to get:

[tex]5 {y}^{2} (4 {y}^{4} - 3 {y}^{2} + 8)[/tex]

The expression in the parenthesis has no common factor again since we factored the greatest common factor.

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