Question

Factor completely using the difference of squares along with factoring by grouping.

4t^3-16y^2-9t+36

Answer 1

do you mean

4t^3-16t^2-9t+36?

Answer 2

yes I do

Answer 3

4t^3-16t^2-9t+36

(4t^3-16t^2) + (-9t+36)
i grouped them for you; what can you factor form each one

Answer 4

what is the common factor in 4t^3-16t^2?

Answer 5

4t^2

Answer 6

correct factor it what do you get?
4t^2 ( ____ - _____)

Answer 7

4t^2(t-4)

Answer 8

factor this too (-9t+36)

Answer 9

-9(t+4) ?

Answer 10

nope
-9(t-4)

now we have
4t^2(t-4) + (-9)(t-4)

what is the common factor now?

Answer 11

(t-4)

Answer 12

ok factor it

Answer 13

(t - 4)(4t^2-9)

do you know how to factor (4t^2-9)

Answer 14

(a^2 - b^2)=(a+b)(a-b)
((2*t)^2 - 3^2) = (2t - 3)(2t + 3)

now (2t - 3)(2t + 3)(t - 4)

Answer 15

got it?