Question

simplify -2a(-7a^3+6)+(-2a)(6a^3-5)

Answer 1

So can you tell me the order of operations?

Answer 2

PEMDAS
Parethesis
Exponent
Multiplications
Division
Addition
Subtraction

Answer 3

Right..but in this case we only multiply.

Answer 4

And add.

Answer 5

ok cool so, what is the first thing you should do?

Answer 6

-2 times everything inside the first set of parentheses

Answer 7

well you have -2a

Answer 8

so though you could just do -2 first, why not get it all done in one shot?

Answer 9

So can you try distributing the -2a for me?

Answer 10

Let's take the first part.

\(-2a(-7a^3 + 6)\)

Now we distribute -2a into the parenthesis.

To do that, we just multiply it to every term inside the parenthesis.

\(-2a \times -7a^3 =~?\)

\(-2a \times 6 =~?\)

Can you multiply those?

Answer 11

-2a * -7a = 14a^4
-2a * 6 = -12a

Answer 12

No kids I'm gonna explain

Answer 13

It would be a^2 @TheYoungBlaze

Answer 14

a*a=a^2

Answer 15

I forgot to add the ^3 to it. It was actually -2a * -7a^3 as iGreen outlined.

Answer 16

So @TheYoungBlaze , though you did the multiplication correctly, you wrote the steps incorrectly. So aanyways, can you do the second part of multiplication now?

Answer 17

YOu got it..

Answer 18

My guys gotta go. My brother will help @iGreen :)

Answer 19

That gives us:

\(-2a(-7a^3+6)+(-2a)(6a^3-5)\)

\(14a^4 - 12a + (-2a)(6a^3 - 5)\)

Now we distribute -2a into the parenthesis.

Can you multiply these?

\(-2a \times 6a^3\)
\(-2a \times -5\)

Answer 20

-2a * 6a^3 = -12a^4
-2a * -5 = -10a

Answer 21

Yep, that gives us:

\(14a^4-12a - 12a^4 - 10a\)

Can you combine like terms?

\(14a^4 - 12a^4\)

\(-12a - 10a\)

Answer 22

14a^4 - 12a^4 = 2a^4
-12a - 10a = -22a

Answer 23

Yep, that gives us:

\(2a^4 - 22a\)

That's your final answer! :D

Answer 24

So its 2a^4 - 22a?

Answer 25

Hmm.. I double checked the original equation I posted and they're the same equation.. Idk where I went wrong?