Question

Pleaseeeeee Helpppp I need help fast!!!!!!!!!!!

Part A: The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.

Part B: The area of a rectangle is (81x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.

Answer 1

Okay, so let's start by Part A:
We have 16x^2-8x+1
To factor this, we need to split the middle term. So, let's find two factors that multiply to gives us 16 and add to give us -8.
That would be -4 and -4.
-4 x - 4 = 16
-4-4 = -8
So, we'll add that in for the middle term.
16x^2-4x-4x+1
Now we factor by grouping:
(16x^2-4x)+(-4x+1) ==> Find the GCF for both groups
4x(4x-1)-1(4x-1)
(4x-1)(4x-1) = (4x-1)^2
So, the length of the each side = 4x-1

Answer 2

@barstho i think you need getting here the real positiv root of this quadratic and this will be the length of this square

Answer 3

and what is about part B. ?

Answer 4

@barstho

Answer 5

in case of part B. us formula a^2 -b^2 = (a-b)(a+b)

Answer 6

They aren't being responsive :\ So I don't want to just do it for them