COMPLETELY FACTOR THE FOLLOWING EXPRESSIONS

Question

1. 12v^2 - 36vw - 48w^2
2. x^2 + 14x + 45
3. 9t^2 + 42t + 49
4. 3a^2 + 8ab - 3b^2
5. 36m^2 - 132mn + 121n^2
6. 4t^3 - 64t^2 - 128t

Answer 1

1.  12v^2 - 36vw - 48w^2

12( 2v^2 - 3vw - 4w^2)

2) x^2 + 14x + 45

( x + 9)(x + 5)

3) 9t^2 + 42t + 49

(3t + 7 )(3t + 7) = (3t+7)^2

4) 3a^2 + 8ab - 3b^2

(3a - b )( a + 3b)

5) 36m^2 - 132mn + 121n^2

( 6m - 11n )( 6m - 11n )=

(6m - 11n)^2

6)

4t^3 - 64t^2 - 128t = 4t( t^2 - 16t - 32)