Question

Can somebody please simplify something for me?

Answer 1

As in expand? ok.

Answer 2

\[2x ^{2}-x+6x-3 = 2x ^{2}+5x-3\]

Answer 3

Would you like to know how to do that?

Answer 4

Yes please

Answer 5

the four choices looked like this

Answer 6

Have you heard of FOIL before?

Answer 7

FOIL stands for first, outside, inside and last meaning you multiply these terms together from the two brackets.

Answer 8

Exactly. hence D).

Answer 9

Okay, and I have heard of FOIL before

Answer 10

\[(2x*x)+(-1*x)+(3+2x)+(-3)\]

Answer 11

First, outer, inner, last

Answer 12

That is how to expand a quadratic equation (an equation like the above with 4 terms).

Answer 13

right

Answer 14

So can you explain further?

Answer 15

Okay, when you multiply the first term of the first bracket with the first term of the second bracket, for example, you get \[2x*x = 2x^2\] , hence the first term in the final solution.

Answer 16

Okay

Answer 17

Do you want to try doing that with the other terms?

Answer 18

Yes please

Answer 19

So go ahead, try to do this with the outside of the two.

Answer 20

The original problem i posted?

Answer 21

Yep. Multiply the two outside terms together.

Answer 22

The original problem was (x+3)(2x-1)

Answer 23

can you help me step by step?

Answer 24

Yes. So remember the first two terms multiplied equals 2x^2. Then the outside terms, x and -1 multiplied equals what?

Answer 25

What is -1 times x?

Answer 26

-1x?

Answer 27

Good!

Answer 28

Now the inside terms? 3 and 2x.

Answer 29

6x

Answer 30

Cool. And the last two?

Answer 31

Be right back

Answer 32

Would you mind medalling me?

Answer 33

Okay back

Answer 34

I'm currently in class so I might go AFK now and then so sorry if I do