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

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Factor by grouping

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Q. Factor.

\newline

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: $(9r^2 + 10)(2r - 1)$

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