FACTORING POLYNOMIALS USING ALGEBRAIC IDENTITIES WORKSHEET

Factorize each polynomial using algebraic identity.

1)  w² - 4

2)  a² - b²

3)  9 - 16t²

4)  8a³ - 27b³

5)  m³ + n³

6)  125x³ - 64

7)  x² + 10x + 25

8)  36u² - 12uv + v²

9)  4a² - 4a + 1

10)  25x² - 36

Solution

Factorize each polynomial using algebraic identity.

1)  36k² - 1

2)  x² - 9y²

3)  25m² - n²

4)  8r³ - 729

5)  p³ - 1000q³

6)  27c³ + 125d³

7)  64y³- 216

8)  36y² + 84y + 49

9)  h² + 4h + 4

10)  z² - 8z + 16

Solution

Factorize each polynomial using algebraic identity.

1) 49p² - q²

2) 64 - d²

3) not factorable.

4) 27u³ + 343v³

5) c³ + 216

6) 512z³ - 1

7) 16p² + 56p + 49

8) s² + 16st + 64t²

9) k² - 18k + 81

10) m² - 6mn + 9n²

Solution

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