Question

Find the two products below. Compare and contrast, in complete sentences, the similarities and differences of the two.

(x + 6)(x − 6) and (x − 6)(x − 6)

Answer 1

these are standard formulae..!!

Answer 2

But I don't get how to work it out. @Mashy

Answer 3

use the distributive property

how would do (x+4)(3) = ?

Answer 4

3x+12 right? @Mashy

Answer 5

perfect.. now

if you had (x+4)(x+3).. how would you do it?

Answer 6

It would be 2x+3x+4x+12?? @Mashy

Answer 7

Then you would simplify it?

Answer 8

not quite.. how did you get 2x?

Answer 9

oh wait it would be x^2 or just x?

Answer 10

you tell

what is x times x ?

Answer 11

it would be x

Answer 12

what is 5 times 5 ?? is it 5? :P

Answer 13

its 25. ahhhh but I don't get it wouldn't x time x be x?? like 1 times 1?

Answer 14

but x can be anything... thats the meaning of a VARIABLE

so we say in general x times x is x squared..

so if x = 5

then 5 times 5 = 5 squared = 25

and 1 times 1 = 1 squared =1

for 1 the answer is same because 1 times 1 is 1.. so that only holds good for 1 and nothing else get it? :) (or maybe zero :P)

Answer 15

oh okay! this is what I have so far for my question is this right?

-6x+x^2-36+6x
x^2-36 (answer)
_________________________
6x+x^2+36-6x
x^2+36 (answer)

Then we have to compare and contrast

Answer 16

first answer is perfect

but second answer is wrong.. check properly do it again!

Answer 17

-6x+x^2+36-6x
x^2-12x+36

Is that the right answer?

Answer 18

there you go.. thats right ;-)!

Answer 19

Okay, now all I need to do is the compare and contrast, but I have no idea how they are different. The only think I have is that the second equation
-6x+x^2+36-6x
x^2-12x+36
Comes out a perfect trinomial square. is that right?? @Mashy

Answer 20

hmm even i dunno what exactly is your question asking you ? when you say compare and contrast.. waht similarities do you see?? and what differences ?.. (a+b)^2 - is called as a trinomial square? i don't remember the terminologies!

Answer 21

Well the first equation only has a 2 part answer: x^2-36
But the second equation has a 3 part answer: x^2-12x+36
The 3 part answer had 2 negatives from the original equation, but the first one had a negative and positive. @mashy

Answer 22

well its true.. but i dunno if that is what is expected .. but everything you said is right :).

Answer 23

okay! thank you so much :) this really help! @Mashy

Answer 24

your welcome :P..