I have no idea where to even start on this problem..

Which of the following is the correct factored form of the given equation?

4x 2 - 25 = 0

a) (4x - 5)(x + 5) = 0
b) (2x - 5)(2x + 5) = 0
c) 2(x - 5)² = 0

Question

I have no idea where to even start on this problem..

Which of the following is the correct factored form of the given equation?

4x 2 - 25 = 0

a) (4x - 5)(x + 5) = 0
b) (2x - 5)(2x + 5) = 0
c) 2(x - 5)² = 0

anonymous · Answer

A^2 - B^2 = (A-B)(A+B)?

anonymous · Answer

what is 2^2 = ?
           5^2  = ?
Remember the difference of squares. $$a ^{2} - b ^{2} = (a+b)(a-b)$$

anonymous · Answer

4 and 25

anonymous · Answer

Good now if 4 is the square of 2 and 25 is the square of 5 can you write out the factors.

(2x+5)(????) what is the other one?

anonymous · Answer

No...  look at the general formula...(a+b)(a-b)  I a = 2 and b = 5 write out the equation in factored form.  I did one half you do the other.. (2x+5)(ax-b) ???what is ax-b?

anonymous · Answer

4x^2 - 25 = 0
(2x)^2 - (5)^2 = 0
now using a^2 - b^2 = (a+b)(a-b)
(2x +5)(2x-5)=0

anonymous · Answer

Thank you

anonymous · Answer

u r welcome...☺