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Can someone help me

hi

Part A.
Factor 9x2 − 12x + 4
This trinomial follows the pattern
\(a^2 - 2ab + b^2 = (a - b)^2\)

ok im gonna plug it in

one sec

To factor it, first, what is it whose square is to 9x^2?

um..

idk

What do you square to get 9x^2?
___ * ___ = 9x^2
What is the square root of 9?

What number times itself equals 9?

Good.
What times itself is x^2?

wait no

nothing

No. 1 * 1 = 1
The answer is x. x * x = x^2
Ok?

okay

That means (3x)(3x) = 9x^2
The square root of 9x^2 is 3x

ok

Now we deal with the 4.
What is the square root of 4?

That means the side of the square is 3x - 2 units

so thats the length of each side?

Yes. Since it's a square, all sides measure 3x - 2

ooh okay thankyou

can you help with B?

(5x+4y)(5x−4y)

You are correct. As you can see the sides are not equal, so this rectangle is not a square.

Two opposite sides have length 5x + 4y,
and the other two opposite sides have length 5x - 4y