Factor completely 4x4 − 24x3 + 36x2.
4x2(x − 3)2
4(x − 3)2
4x2(x + 3)(x − 3)
4x(x2 − 6x + 9)

Factor out 4x² from everybody
4x²(x²-6x+9)
factor inner
what 2 numbers multipliy to gete 9 and add to get -6
-3 and -3
4x²(x-3)(x-3)
or
4x²(x-3)²

first option

The correct option is 1.

Step-by-step explanation:

The given expression is

Taking out the greatest common factor.

The complete factor form of the given expression is .

Therefore the correct option is 1.

A.) Yes, by AA criterion.

Triangle ABE have these angles: 
∠ABE = 45° ; ∠EAB = 63° ; missing ∠ is 72°

Triangle MNP have these angles:
∠MNP = 72° ; ∠NMP = 63°; missing ∠ is 45°

AA criterion is "angle,angle" criterion. It means that the two triangles have at least two of their angles equal. Since a triangle have a total of 180°, when two of their angles are equal, the 3rd angle is also equal.

As you can see, both triangles have 45°, 63°, and 72° measurement of angles. Thus, they are similar.