factor: 1) 15+78v-72v^2 NEXT PROBLEM 2) 36d^3e+de^3-12d^2e^2?

Question

ive been trying to do these problems all morning and i keep getting the wrong answer can someone please help me out by solving them and if possible listing how you solved it. i want to try to work from the answer back to see were i keep making a mistake

Answer 1

1)
15+78v-72v^2
= 3(5+26v-24v^2)

5*(-24) = -120

30*(-4) = - 120
30 - 4 = 26

so 5+26v-24v^2
= 5+30v-4v-24v^2
= 5(1+6v)-4v(1+6v)
=(5-4v)(1+6v)

so factor = 3(5-4v)(1+6v)

2)
take de common

de(36d^2+e^2-12de)

=de((6d)^2+e^2-2*(6d)*e)
= de(6d-e)^2

Answer 2

15 + 78v - 72v²

3(5 + 26v - 24v²)

3(5 + 30v - 4v - 24v²)

3[5(1 + 6v) - 4v(1 + 6v)]

3 (5 - 4v)(1 + 6v)

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