## anonymous one year ago Help please?? Will give medal and will fan! The area of a rectangle is (16x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely.

1. anonymous

@200205650 @Nnesha

2. anonymous

Okay so you know that in order to solve the problem you would need to factor$16x^2 - 9y^2$

3. anonymous

Mhm

4. anonymous

What I do when I see these type of equations is to see if the numbers in front of the x and y can be square rooted.

5. anonymous

16 and 9 can be square rooted to 4 and 3 so let's split the equation starting with that.

6. anonymous

$(4x \pm 3y) (4x \pm 3y)$

7. anonymous

I put a plus and minus sign in the middle so we can determine what sign we should use.

8. anonymous

What is that symbol?

9. anonymous

Just pretend that symbol is a box. We need to figure out what sign to put in the middle. That's why I put that. Don't let that sign confuse you okay?

10. anonymous

Okay

11. anonymous

Since the actual equation has a minus sign in the middle that means the two equations have to cancel out the middle term of that equation. The middle term, for example, can be seen in the equation below:$ax^2 +bx +c$ The term "bx is the middle term. The question however doesn't give us a middle term because it is saying that the middle term is 0.

12. anonymous

I'll give you 3 answer choices. Tell me which equation will cancel out the middle term for the question that was given to you$16x^2-9y^2$A.) (4x + 3y) (4x +3y) B.) (4x + 3y) (4x - 3y) C.) (4x - 3y) (4x - 3y)

13. anonymous

B

14. anonymous

One of these answers can cancel out the middle term. Do you know how to factor equations? That can help when finding which choice it will be.

15. anonymous

Oh never mind you got it!

16. anonymous

17. anonymous

Oh okay thanks!

18. anonymous

(4x + 3y) (4x - 3y) = 16x^2 - 9y^2

19. anonymous

And you're welcome!