The Greatest Common Factor and Factoring by Grouping

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Example
1

Find the greatest common factor for \(3x^5+12x^2\)

Example
2

Find the greatest common factor for \(8a^3b^2+16a^2b^3+20a^3b^3\)

Example
5

Find the greatest common factor for \(16x^5-20x^4+8x^3\)

Example
6

Find the greatest common factor for \(6x^3y-18x^2y^2+12y^3\)

Example
7

Find the greatest common factor for \(3a^2b-6a^3b^2+9a^3b^3\)

**Mini Lecture**

Factor out the greatest common factor.

\(6a+9\)

\(15x^3-25x^2+30x\)

Factor by grouping.

\(xy+5x+3y+15\)

\(ab+7a-3b-21\)

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