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GCF

Difference of 2 Squares. GCF. Grouping. Trinomials. 49x 2 – 25y 6. = (7x + 5y 3 )(7x – 5y 3 ). Difference of 2 Squares. GCF. Grouping. Trinomials. 75x 4 + 25x 2 – 50x 5. = 25x 2 (3x 2 + 1 – 2x 3 ). Difference of 2 Squares. GCF. Grouping. Trinomials. x 2 – 15x + 56.

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GCF

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  1. Difference of 2 Squares GCF Grouping Trinomials 49x2 – 25y6 = (7x + 5y3)(7x – 5y3)

  2. Difference of 2 Squares GCF Grouping Trinomials 75x4 + 25x2 – 50x5 = 25x2 (3x2 + 1 – 2x3)

  3. Difference of 2 Squares GCF Grouping Trinomials x2 – 15x + 56 = (x – 7)(x – 8)

  4. Difference of 2 Squares GCF Grouping Trinomials 25x2 – 1 = (5x + 1)(5x – 1)

  5. Difference of 2 Squares GCF Grouping Trinomials 2ab – 4a + 3b – 6 = 2a + 3 (b – 2) (b – 2) = (b – 2)(2a + 3)

  6. Keep factoring until all factors are prime!

  7. Difference of 2 Squares GCF Grouping Trinomials 3x3y – 27xy = 3xy (x2 – 9) = 3xy (x + 3)(x – 3)

  8. Difference of 2 Squares Grouping GCF Trinomials 3x4 – 15x3 – 75x2 = 3x2 (x2 – 5x – 50) = 3x2(x – 10)(x + 5)

  9. Difference of 2 Squares Grouping GCF Trinomials x6y2 – x2y2 = x2y2 (x4 – 1) = x2y2(x2 + 1) (x2 – 1) = x2y2(x2 + 1)(x + 1)(x – 1)

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