Find the product of (3x − 7y)2.

A. 9x^2 − 42xy + 49y^2
B. 9x^2 + 42xy + 49y^2
C. 9x^2 − 49y^2
D. 9x^2 + 49y^2

I got A for this, is that correct?

Question

Find the product of (3x − 7y)2.  

A. 9x^2 − 42xy + 49y^2
B. 9x^2 + 42xy + 49y^2
C. 9x^2 − 49y^2
D. 9x^2 + 49y^2

I got A for this, is that correct?

anonymous · Answer

(3x - 7y)² = (3x)² - 2(3x)(7y) + (7y)²
=> 9x² - 42xy + 49y²
Yep, it's A.

anonymous · Answer

Awesome thanks! I have two more that I need checked, if you don't mind?

anonymous · Answer

Anytime. Just post it

anonymous · Answer

Find the product of (3x + 7y)^2.  

A. 9x^2 − 42xy + 49y^2
B. 9x^2 − 49y^2
C. 9x^2 + 49y^2
D. 9x^2 + 42xy + 49y^2

I got D for this one

7.   Find the product of (3x + 7y)(3x − 7y).  

A. 9x^2 − 42xy + 49y^2
B. 9x^2 + 42xy + 49y^2
C. 9x^2 − 49y^2
D. 9x^2 + 49y^2

and C for this one, are those right?

anonymous · Answer

(3x + 7y)² = (3x)² + 2(3x)(7y) + (7y)² 
=> 9x² + 42xy + 49y². 
That's right, D.

(3x + 7y)(3x − 7y) = (3x)² - (7y)² 
=> 9x² - 49y²
Those are all correct.

anonymous · Answer

yay!! I'm getting better!! :) I do have one more but its a word problem. Would you mind reading it over?

anonymous · Answer

Shoot

anonymous · Answer

just give me one sec...

anonymous · Answer

Find the two products below. Compare and contrast, in complete sentences, the similarities and differences of the two.

(x + 4)(x − 4) and (x + 4)(x + 4)


(x + 4)(x − 4) and (x + 4)(x + 4) 

The product of (x + 4)(x - 4) is x^2 - 16
The product of (x + 4)(x + 4) is x^2 + 8x + 16

The similarities are:
Its the same type of operation
Both equations have the same variables and numbers

The differences are:
In the first equation, there is a subtraction sign instead of an addition sign like in the other problem
The solution is different

anonymous · Answer

In complete sentences:

The similarities between these two problem are that they have the same type of operation. They also both have the same variables and numbers in the equations. The differences would come out to be the fact that in the first equation, there is a subtraction sign instead of an addition sign like in the other problem. Also,both problem have a different product.

anonymous · Answer

That's correct. You may also mention that the first one is the difference between two squares and the second one is a perfect square.

anonymous · Answer

Okay, thanks for checking those, I really appreciate it! :)

anonymous · Answer

Welcome :D

anonymous · Answer

Welcome :D

anonymous · Answer

Thanks again :)

anonymous · Answer

I hope you have an awesome afternoon.