Question

Main Factoring Special Case Quadratics

Answer 1

1)

`81c {}^(2) - 4 = (9c - 2)(9c + 2)`

since it is in the form of:

`x {}^(2) - y {}^(2) = (x - y)(x + y)`

2)

`75x {}^(2) - 27y {}^(2) = (5 √(3) x - 3 √(3) y)(5 √(3) x + 3 √(3) y)`

3)

`z {}^(2) + 12z + 36`

`z {}^(2) + 6z + 6z + 36`

`z(z + 6) + 6(z + 6)`

`(z + 6)(z + 6)`

`(z + 6) {}^(2)`

4)

`4f {}^(2) + 18f + 18f + 81`

`2f(2f + 9) + 9(2f + 9)`

`(2f + 9)(2f + 9)`

`(2f + 9) {}^(2)`

5)

`49a {}^(2) - 14a + 1`

`(7a - 1) {}^(2)`

6)

`x {}^(4) - 16`

`(x {}^(2) - 4)(x {}^(2) + 4)`