Question

(x+6)^2
Is this right?
(x+6)^2 =36x

Answer 1

im guessing you have to expand this...??

Answer 2

Not really sure if i do or not all they gave me was (x+6)^2?

Answer 3

Have you ever done problems that asked you "to expand" an expression?

Answer 4

Nope.

Answer 5

Lets start from this.

\(\large\color{black}{\rm \displaystyle expression\text{#}1(expression\text{#}2) }\)

is same thing as

\(\large \color{black}{\rm expression\text{#}1~\cdot~expression\text{#}2}\)

you know that right?

Answer 6

? What is expression 1 and 2 suppose to mean?

Answer 7

any expreesions, i am just naming them like this.

Answer 8

this is equivalent to saying

a(b) is same as saying a•b

Answer 9

Okay.

Answer 10

good.

Answer 11

So, if I say
a(b), then I know that it is a•b and it would be the same thing as a•b.

Answer 12

(Just trying to get general way of writing things straight)

Answer 13

a(b) = a•b = ab

Answer 14

all 3 parts are same...

Answer 15

Alright

Answer 16

now, if I said:

a(b+c), then what am I really doing?

a(b+c) = a•(b+c) = a•b+a•c=ab+ac

Answer 17

I am multiplying everything inside the parenthesis times a.

Answer 18

is this making some sense?

Answer 19

Yeah, just not sure what this has to do with the problem i asked.

Answer 20

@SolomonZelman

Answer 21

Anyone?

Answer 22

\(\large (x+6)^2 \implies (x+6)(x+6)\implies
\begin{cases}
x\cdot x\implies &?\\
x\cdot 6\implies &?\\
6\cdot x\implies &?\\
6\cdot 6\implies &?
\end{cases}\)

Answer 23

Okay think i got it. x*x = X^2, x*6 = x^6, 6*x= 6x and 6*6 = 36

Answer 24

(x+6)^2 is the same as (x+6)*(x+6)

squaring something means you're multiplying it by itself

To expand out (x+6)*(x+6) you can use the FOIL rule but I like a table better because you can use a table for things that FOIL can't do