Factor completely .
4u^2 - 100

4(u - 5)(u + 5)

Step-by-step explanation:

We have the expression,

Factor out 4:

25 can be written as

Use difference of squares property:

=

.

Step-by-step explanation:

Make use of the fact that the difference of two perfect squares, , could be rewritten as a product of the form . That is:

.

In this question, the two squares are and , respectively. Thus:

.

Simplify this expression even further:

.

dunno

step-by-step explanation:

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x