SIMPLIFY EACH OF THE FOLLOWING EXPRESSIONS.

Question

1. (4t^2 - 7t + 2)(4t^2 + 7t - 4)
2. (4-3y)(4+3y)
3. (2m - 4)(4m^2 + 8m + 16)
4. (3r - 2)(4r -3)
5. (w-6)^2

Answer 1

1) (4t^2 - 7t + 2)(4t^2 + 7t - 4)

16t^4 + 28t^3 - 16t^2

- 28t^2 - 49t^2 + 28t

8t^2 - 49t - 8

16t^4 -57t^2 - 21t - 8

2) (4-3y)(4+3y)

16 - 9y^2 <--- difference of squares pattern

3) (2m - 4)(4m^2 + 8m + 16)

2(m-2) * 4(m^2 + 2m + 4) =

8 ( m-2) (m^2 + 2m + 4) =

8 ( m^3 + 2m^2 + 4m

_2m^2 - 4m - 8 )

8 ( m^3 - 8) <--- difference of cubes pattern

8m^3 - 64

4) (3r - 2)(4r -3)

12r^2 - 9r - 8r + 6 =

12r^2 - 17r + 6

5) (w-6)^2 = (w-6)(w-6) = w^2 - 6w - 6w + 36

= w^2 - 12w + 36

squaring binomial