Question

Two sets of equatic expressions are shown below in various forms:

Line 1: x^2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)^2 − 0.25
Line 2: x^2 + 5x + 6 (x + 2)(x + 3) (x + 2.5)^2 + 6.25

Which line contains three equivalent expressions?

Answer 1

line 1 only
line 2 only
line 1 and line 2
neither line 1 or lime 2

Answer 2

@myininaya

Answer 3

Do you know how to distribute out the parenthesis?

e.g) (x+1)(x+2)

Answer 4

I think so don't you use FOIL? @johnweldon1993

Answer 5

Yes use foil to distribute those out..in both cases

Answer 6

line 1 x^2 +2x+x+2
line 2 x^2+3x+2x+6

is that correct @johnweldon1993

Answer 7

yes...now just combine like terms...and we have

line 1) x^2 + 3x + 2
line 2) x^2 + 5x + 6

So far those match the first part of each line...so we move onto the next part as well

So now we need to distribute the

line 1) (x + 1.5)^2 - 0.25
line 2) (x + 2.5)^2 + 6.25

Answer 8

then it would be
x^2 +1.5^2-0.25
x^2+2.5^2+6.25

Answer 9

@johnweldon1993

Answer 10

Ahh not quite :)

So think of something like

\[\large (x + a)^2 \rightarrow (x + a)(x + a)\]

Answer 11

oo so it would be
(x+1.5)(x+1.5)-0.25
(x+2.5)(x+2.5)+6.25
@johnweldon1993

Answer 12

Correct....so you foil those parenthesis out and then just simplify :)

Answer 13

the first one should be
x^2+3x+2

Answer 14

the second one should be
x^2+5x+12.5

Answer 15

Perfect....so as you can see...line 1 is the same...but line 2 is no longer the same..thus the answer is...?

Answer 16

line 1 only @johnweldon1993

Answer 17

There we go :)

Answer 18

thank you so much @johnweldon1993