Question

@DebbieG can you help me check my answers? :)

Answer 1

Question 1 (Multiple Choice Worth 1 points)

Find the product of (x − 5)2.

x2 + 10x + 25

x2 − 10x + 25

x2 − 25

x2 + 25

Question 2 (Multiple Choice Worth 1 points)

Find the product of (x + 7)2.

x2 − 14x + 49

x2 + 14x + 49

x2 − 49

x2 + 49

Question 3 (Multiple Choice Worth 1 points)

Find the product of (2x + 5y)(2x − 5y).

4x2 − 20xy + 25y2

4x2 + 20xy + 25y2

4x2 + 25y2

4x2 − 25y2

Question 4 (Multiple Choice Worth 1 points)

Find the product of (3x − 7y)2.

9x2 − 42xy + 49y2

9x2 + 42xy + 49y2

9x2 − 49y2

9x2 + 49y2

Question 5 (Multiple Choice Worth 1 points)

Find the product of (x + 5)(x − 5).

x2 − 10x + 25

x2 + 10x + 25

x2 − 25

x2 + 25

Question 6 (Multiple Choice Worth 1 points)

The product of (a − b)(a − b) is a2 − b2.

Sometimes

Always

Never

Question 7 (Multiple Choice Worth 1 points)

Find the product of (4x + 3y)2.

16x2 − 24x + 9y2

16x2 + 24xy + 9y2

16x2 − 9y2

16x2 + 9y2

Answer 2

1) A
2) D
3) D
4) B
5) C
6) C
7) B

Answer 3

so @DebbieG are my answers right?

Answer 4

Hold on, I had to open in a new window so I can look at the questions and answers together, give me a sec...

Answer 5

mkay

Answer 6

1) A NO, check the sign that you should get on the middle term. (Look at the OI in the FOIL!)

2) D NO, where did the middle term of the FOIL disappear to? The middle term ONLY goes away on these types of products when it is that special one that we talked about - the product of a sum and a difference gives you a DIFFERENCE of squares. You won't get a SUM of squares from a product of two binomials.

3) D YES!! (THIS is a product of a sum & diff, so you get a diff of squares!)

4) B NO, again, check the sign on that middle term. Look at your OI products - what signs do they have, what do they add to??

5) C YES! Another diff of squares.

6) C Right! THIS won't give you a diff of squares.

7) B YES!

Answer 7

1) B
2) C
4) A

Answer 8

@DebbieG

Answer 9

@DebbieG ???

Answer 10

1) B - right!
2) C - stilll no
4) A - right!

Answer 11

hmmmm sure, cool story bro @gree420

Answer 12

2) B

Answer 13

\((x + 7)^2=(x + 7)(x + 7)\)

Now FOIL that out, one term at a time, like you did before....

Answer 14

Let's work the problem out... I want to make sure you aren't guessing now. :)

Answer 15

@gree420 if you have a problem that you want help with, just post your own question. Someone will help you! :) I'm working with @JOshua_Lewis here. Let's not confuse this thread.

Answer 16

i wasn't guessing... i realized what was wrong right when you said something.

Answer 17

okay....

Answer 18

i feel like my first answer is right

Answer 19

lol ok, well, yes B is right.....
\((x + 7)^2=(x + 7)(x + 7)=x^2+7x+7x+7^2=x^2+14x+49\)

Just be careful with the signs on those 2 middle terms, and make sure you add them correctly. That seems to be the place where you end up making errors.

but you're getting it - just keep practicing! Do more and more of them! This should get very easy, then it will be easier for you when you get to factoring them, and on to more complex topics. You will need to be multiplying polynomials like this for as long as you take math! :)

Answer 20

What do you mean? Your first answer where, to what?

Answer 21

ohhh!!!!........ _-_ i feel dumb lol

Answer 22

lolol well thanks again :)

Answer 23

You're welcome! happy to help. :)