Question

Is the following problem simplified correctly?
(2x+7)(x-3)=2x2-6x+7x-21
=2x2+x-21

Yes

No

Answer 1

yes

Answer 2

can u help me simplify it

Answer 3

Ok. First thing you have to do is FOIL the equation. This means First Outer Inner Last.

Answer 4

ok

Answer 5

2x^2 + -6x + 7x + -21
F O I L

Answer 6

Next you group like terms

Answer 7

ok

Answer 8

Then if nothing can be factored out of each term the equation is simplified completely

Answer 9

can i just do it like this tell me if i am correct

Answer 10

2x+7)(x-3)

so you just 2x^2 then you just + x cause the x is in the second one than you times 7 * -3 and that gives you -21 so then you get
2x^2 + x - 21

Answer 11

can i do it that way too?

Answer 12

No, because although that works for this case it will not work for all cases

Answer 13

alright.

Answer 14

Sorry, but I can see the connection you made. Be careful because this is a unique situation.

Answer 15

ok

Answer 16

(x+3)(x+4)
x^2 + 7x + 12

Answer 17

2x2-6x+7x-21 so after i get that what do i do can u work me through it

Answer 18

oh i see i did -6 + 7 and i got 1 which can just stand for x correct

Answer 19

u can add -6x and 7x together because their variable is of the same power, x^1. x is just a number, right?! and that number is the same for all x. so say it is 2.
-6(2) + 7(2)
-12 + 14
2
or
-6x + 7x
x, where x = 2
same thing

Answer 20

i was correct

Answer 21

yup