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26 votes
26 votes
Factor (x-3)²+4(x-3)​

User Cutalion
by
2.8k points

1 Answer

18 votes
18 votes

Answer:


{(x - 3)}^(2) + 4(x - 3) \\ = (x - 3)((x - 3) + 4) \\ (x - 3)(x - 3+ 4) \\ = (x - 3)(x + 1)

(x - 3) is common factor

Imagine you are multiplying or dividing each term by the common factor


{(x - 3)}^(2) + 4(x - 3) \\ \frac{{(x - 3)}^(2)}{(x - 3)}+(x-3)4((x - 3))/((x - 3))\\(x-3)((x-3)+4)

User Gil Vegliach
by
3.2k points
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