Factoring Part 1:  GCF and Squares

1. Factor the GCF from 7x²y³ + 14x³y + x⁵y⁴

  x²y(7y² + 14x + x³y³)

  7xy(xy² + 2x + x⁴y³)

  xy(7xy² + 14x² + x⁴y³)

2. Factor the GCF from 15a³b³ + 12a⁵ + 6b⁵

  3(5a³b³ + 4a⁵ + 2b⁵)

  3a³(5b³ + 4a² + 2b⁵)

  3b³(5a³ + 4a⁵ + 2b²)

3. Factor by 4x² - 25y²

  (2x - 5y)(2x - 5y)

  (4x - 5y)(4x + 5)

  (2x - 5y)(2x + 5y)

4. Factor x² +  1

  (x + 1)(x - 1)

  (x + 1)(x + 1)

  This is a prime polynomial.

5. Factor (3w - 1)²  - 25.

 (3w - 1 - 5)(3w - 1 + 4)

 (3w - 6)(3w + 4)

 3(w - 2)(3w + 4)

6. Factor 4a² - 4.

 4(a² + a - 1)

 4(a² - 1)

 4(a - 1)(a + 1)

7. Factor x² - 121

  (x + 11)(x + 11)

  (x - 11)(x - 11)

  (x - 11)(x + 11)