Factor. 20y^3 - 10y^2 + 6y - 3 ______

Identify Common Factors: Look for common factors in each pair of terms. We can pair the first two terms and the last two terms to look for common factors.Factor First Pair: Factor out the greatest common factor from the first pair of terms. The greatest common factor of 20y^3 and 10y^2 is 10y^2. 20y^3 - 10y^2 = 10y^2(2y - 1)Factor Second Pair: Factor out the greatest common factor from the second pair of terms. The greatest common factor of 6y and -3 is 3. 6y - 3 = 3(2y - 1)Write Factored Expression: Write the expression with the factored pairs. 20y^3 - 10y^2 + 6y - 3 = 10y^2(2y - 1) + 3(2y - 1)Factor Common Binomial: Factor out the common binomial factor. Both terms have a common factor of (2y - 1). 20y^3 - 10y^2 + 6y - 3 = (10y^2 + 3)(2y - 1)

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Q. Factor.

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20y^3 - 10y^2 + 6y - 3

Identify Common Factors: Look for common factors in each pair of terms. We can pair the first two terms and the last two terms to look for common factors.
Factor First Pair: Factor out the greatest common factor from the first pair of terms. $\newline$ The greatest common factor of $20y^3$ and $10y^2$ is $10y^2$ . $\newline$ $20y^3 - 10y^2 = 10y^2(2y - 1)$
Factor Second Pair: Factor out the greatest common factor from the second pair of terms. $\newline$ The greatest common factor of $6y$ and $-3$ is $3$ . $\newline$ $6y - 3 = 3(2y - 1)$
Write Factored Expression: Write the expression with the factored pairs. $\newline$ $20y^3 - 10y^2 + 6y - 3 = 10y^2(2y - 1) + 3(2y - 1)$
Factor Common Binomial: Factor out the common binomial factor. $\newline$ Both terms have a common factor of $(2y - 1)$ . $\newline$ $20y^3 - 10y^2 + 6y - 3 = (10y^2 + 3)(2y - 1)$