Which of the following is the complete factorization of 25a2 - 100? 5(5a - 2)(5a + 2) (5a - 2)(5a + 2) 25(a - 2)(a + 2)

25(a - 2)(a + 2)

Step-by-step explanation:

To factor, use the GCF to simplify the expression. The greatest common factor is the greatest number which multiplies into both terms 25 and 100. 25 is that number. So we write:

This expression has the the form of a difference of squares where 4 is b squared. As such, it will factor into the form (a-b)(a+b).

So we write:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)