Question

How do you solve a problem like this?

(-5x)(2x^2 - 3) - 4x

Answer 1

Are you trying to simplify?

Answer 2

if you have to simplify then this would be a great help
https://mathway.com/

Answer 3

@DNTU4GETBOUTME Yes.

Answer 4

First you apply the distributive property. Do you know how to do that?

Answer 5

Yes; am I distributing the -4x?

Answer 6

The - 5x should be taking out of the parenthesis
You're going to take (2x^2-3) and seperate it. All and all you should end up with this −5x(2x^2)−5x(−3)−4x

Answer 7

Does that make sense?

Answer 8

I'm bad at explaining things. Moving on, next you should multiply x by x^2 to get x^3.

Answer 9

That turns into −5(2x3)−5x(−3)−4x . Next we're going to simplify −5x(−3). What do you get after doing that?

Answer 10

Multiply -5x by -3 to get 15x?

Answer 11

Correct! So now we have −5(2x3)+15x−4x

Answer 12

Next simplify −5(2x^3). You're doing really good :)

Answer 13

If you multiply -5 by 2x^3, you'll get -10x^3 right?

Answer 14

Yep! Now we have −10x^3+15x−4x. All we have to do now is add 15x and −4x.. which gives us?

Answer 15

11x.

Answer 16

Correct! So the answer is −10x^3+11x

Answer 17

Thank you very much for your help! Do you have time to help me with one more?

Answer 18

Sure!

Answer 19

4m - 3m(5m - 6)

Answer 20

Okay just like the first problem we're going to start by applying the distributive properties.

Answer 21

We're going to move the 5m and the -6 keeping them in their parenthesis. Do you know where to move them to?

Answer 22

To move them(after seperating them from each other, we're going to double a term. Just like the last problem

Answer 23

I'm sorry, I'm confused; where do we move them?

Answer 24

We're going to take negative 3 and add them there to get 4m−3m(5m)−3m(−6)

Answer 25

Next we're multipling m by m to get m^2. which simply changes our work to 4m−3(5m^2)−3m(−6)

Answer 26

Now we're going to simplify the last term −3m(−6)

Answer 27

that's 18m, right?

Answer 28

Correct! 4m−3(5m^2)+18m Now we simplify −3(5m^2)

Answer 29

-15m^2

Answer 30

Yep! We now have 4m−15m^2+18m

Answer 31

Now we add 4m and 18m together and get?

Answer 32

22m

Answer 33

But i'm a bit confused, aren't you supposed to add the 4m and -15m^2 together?

Answer 34

Correct! Great job! Our answer is −15m^2+22m

Answer 35

thank you again!

Answer 36

You're very welcome. Now you see how easy simplifying can be. I'm glad I could help