Factor. 18r^3 - 9r^2 + 20r - 10 ______

Factorize 18r^3 - 9r^2: Write the factored form of 18r^3 - 9r^2. Factor out 9r^2 from 18r^3 and 9r^2. 18r^3 - 9r^2 = 9r^2(2r - 1)Factorize 20r - 10: Write the factored form of 20r - 10. Factor out 10 from 20r and 10. 20r - 10 = 10(2r - 1)Factorize 18r^3 - 9r^2 + 20r - 10: We found: 18r^3 - 9r^2 = 9r^2(2r - 1) 20r - 10 = 10(2r - 1) Write the factored form of 18r^3 - 9r^2 + 20r - 10. Factor out (2r - 1) from 9r^2(2r - 1) and 10(2r - 1). So, the factored form of 18r^3 - 9r^2 + 20r - 10 is: (9r^2 + 10)(2r - 1)

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Factor. $\newline$ $18r^3 - 9r^2 + 20r - 10$

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Q. Factor.

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18r^3 - 9r^2 + 20r - 10

Factorize $18r^3 - 9r^2$ : Write the factored form of $18r^3 - 9r^2$ . $\newline$ Factor out $9r^2$ from $18r^3$ and $9r^2$ . $\newline$ $18r^3 - 9r^2 = 9r^2(2r - 1)$
Factorize $20r - 10$ : Write the factored form of $20r - 10$ . $\newline$ Factor out $10$ from $20r$ and $10$ . $\newline$ $20r - 10 = 10(2r - 1)$
Factorize $18r^3 - 9r^2 + 20r - 10$ : We found: $\newline$ $18r^3 - 9r^2 = 9r^2(2r - 1)$ $\newline$ $20r - 10 = 10(2r - 1)$ $\newline$ Write the factored form of $18r^3 - 9r^2 + 20r - 10$ . $\newline$ Factor out $(2r - 1)$ from $9r^2(2r - 1)$ and $10(2r - 1)$ . $\newline$ So, the factored form of $18r^3 - 9r^2 + 20r - 10$ is: $(9r^2 + 10)(2r - 1)$