Math problem help?

Question

Multiply

(c-2d) (c^2 + 2cd - 3d^2)

Can't seem to figure it out, step-by-step plz.

Answer 1

Multiplication is relatively simple (c-2d) (c^2 + 2cd - 3d^2)

Take the c from the first bracket (c-2d) and multiply it through each term in the second bracket

c(c^2 + 2cd - 3d^2) = c^3 + 2c^2d -3cd2

Do the same for the second term within the first bracket
-2d(c^2 + 2cd - 3d^2) = -2c^2d -4cd^2 +6d^3

Notice I kept the order as c then d, makes it easier to recognize same terms for the next step

original equation
(c-2d) (c^2 + 2cd - 3d^2)

multiplied out from previous steps

c^3 + 2c^2d -3cd^2 -2c^2d -4cd^2 +6d^3

****** + 2c^2d -2c^2d cancel each other out

c^3 -3cd^2 -4cd^2 +6d^3

****** -3cd^2 -4cd^2 can be added together -7cd^2

c^3 -7cd^2 +6d^3

Answer 2

It's not as hard as it looks. First, put you multiply the second expression entirely by the first term, so you get c^3 +2c^2d-3cd^2. Then, you multiply the whole thing again by the second term, -2d. This gives you -2c^2d-4cd^2+6d^3. Then, you add the two things together. This gives you c^3-7cd^2+6d^3. The + and - 2c^2d cancel each other out.

c^3-7cd^2+6d^3

Answer 3

First step, distribution.
Multiply c(c^2+2cd-3d^2) you should get c^3 +2(c)^2 d - 3c(d)^2
Then multiply -2d(c^2+2cd-3d^2) you must get -2c(d)^2 -4c(d)^2 +6(d)^3. now add them up
c^3+2c^(2) d - 3c(d)^2 - 2c(d)^2 - 4c(d)^2+ 6(d)^3 you will get
c^3 - 6c(d)^2+6(d)^3. This is the answer.

Answer 4

(c-2d) (c^2 + 2cd - 3d^2)
First take c*(c^2 + 2cd -3d^2) = c^3 +2c^2d -3cd^2 <-- Part 1
Now take -2d (c^2 + 2cd -3d^2) = -2dc^2 -4cd^2+ 6d^3 <-- Part 2
Now add Part 1 and Part 2 getting:
c^3+2c^2d-3cd^2 -2dc^2-4cd^2 +6d^3
=c^3 - 7cd^2 + 6d^3

Answer 5

[c-2d][c^2+2cd-3d^2]
=c^3+2c^2d-3cd^2
-2c^2d-4cd^2+6d^3]
=c^3-7cd^2+6d^3

Answer 6

c(c^2+2cd-3d^2)-
2d(c^2+2cd-3d^2)
=c^3+2c^2d-3cd^2-
2c^2d-4cd^2+6d^3
=c^3-7cd^2+6d^3

Answer 7

=c^3+2c^2d-3cd^2-2c^2d-4cd^2+6d^3
=c^3-7cd^2+6d^3

Answer 8

c(c^2+2cd-3d^2)-2d(c^2+2cd-3d^2)
c^3+2c^2d-3cd^2-2dc^2-4cd^2-6d^3
c^3-7cd^2-6d^3

Answer 9

use the foil method that you should be learning if you are in 7th or 8th grade. Never mind that, it isnt even that advanced, just multiply then simplify.

Answer 10

c-2d*c*2+2cd-3d*2
c-2d-2c+2cd-6d
c-2c+2cd-2d-6d
c-2c+2cd-8d