Factor the following binomial completely. x squared minus 36

(x = 6)(x - 6)

Step-by-step explanation: In this problem, we have a binomial that's the difference of two squares because x² and 36 are both perfect squares and we are subtracting or taking the difference of these two squares.

Since the difference of two squares factors as the product of two binomials, we can set up our parentheses and in the first position, we use the factors of x² that are the same which are x times x.

In the second position, we use +6 and -6 as our factors of -36. So our answer is (x + 6)(x - 6).

As a rule, when factoring the difference of two squares, the first position in each binomial will have the factors of the first square that are the same. In this cases x and x.

In the second position of each binomial, we'll have the factors of the second square that are the same which in this case are 6 and 6. Also, one binomial will have a + in the middle and one will have a - in the middle.

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1