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Factor. $\newline$ $18w^3 - 9w^2 + 8w - 4$

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Factor by grouping

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Q. Factor.

\newline

18w^3 - 9w^2 + 8w - 4

Factorize $18w^3 - 9w^2$ : Write the factored form of $18w^3 - 9w^2$ . $\newline$ Factor out $9w^2$ from $18w^3$ and $9w^2$ . $\newline$ $18w^3 - 9w^2 = 9w^2(2w - 1)$
Factorize $8w - 4$ : Write the factored form of $8w - 4$ . $\newline$ Factor out $4$ from $8w$ and $4$ . $\newline$ $8w - 4 = 4(2w - 1)$
Factorize $18w^3 - 9w^2 + 8w - 4$ : We found: $\newline$ $18w^3 - 9w^2 = 9w^2(2w - 1)$ $\newline$ $8w - 4 = 4(2w - 1)$ $\newline$ Write the factored form of $18w^3 - 9w^2 + 8w - 4$ . $\newline$ Factor out $(2w - 1)$ from $9w^2(2w - 1)$ and $4(2w - 1)$ . $\newline$ So, the factored form of $18w^3 - 9w^2 + 8w - 4$ is: $(9w^2 + 4)(2w - 1)$

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