Factor completely. 16c^2 - 9?

(4c + 3)(4c - 3)

this is one answer i don't need to show the working!!

hope this helps^_^

(4c - 3) (4c + 3)

Factors of the expression:
= 16c² - 9
= (4c - 3)(4c + 3)

Values of the variable (c):
4c - 3 = 0, 4c = 3, c = 3/4
4c + 3 = 0, 4c = - 3, c = - 3/4

Answer: c = 3/4, - 3/4

Proof (c = 3/4):
16(3/4)² = 9
16(9/16) = 9
9 = 9

the respond is C. you may discover by using inspection that for the time of the format (a+b)(c+d) - the FOIL technique - your b and d will multiply to -80 one, so 9 and -9 could stand out on your strategies. it additionally must be obvious that the a and c will multiply to 49x², so 7x and 7x could stand out on your strategies. After that, the rest style of falls into place. you may verify the respond by using going backwards. (7x+9)(7x-9) F-First 7x*7x=49x² O-Outter 7x*-9=-sixty 3 I-inner 9*7x=63x L-final 9*-9=-80 one Now upload all of them at the same time: 49x²+63x-63x-80 one 49x²-80 one Yep!

16 c^2 = 9.

c^2 =9/16.
c = 3/4.

16c^2 - 9
= (4c + 3)(4c - 3)

this is also from of perfect square
It is same principle of just x^2
Do not be fool when you see16x remember all this perfect square 4,9,16,25,36,49
16x^2-9
=(4x-3)(4x+3) is the answer

i am going to do another example
9x^2-49
=(3x+7)(3x-7)
Play around with perfect square until you get it

Difference of two squares:

(a + b)(a - b) = a^2 - ab + ab - b^2 = a^2 - b^2

So when you see the form a^2 - b^2 the factors are (a + b)(a - b)

16c^2 - 9

Here a = 4c and b = 3

(4c + 3)(4c - 3)

16c²-9 both 16c² and 9 are perfect squares, so use the Difference of Squares formula