Benjamin has to wear a uniform to school. his uniform is made up of tan or blue pants and a blue or white collared shirt. benjamin has 2 pair of blue pants, 2 pair of tan pants, 3 white shirts, and 2 blue shirts. how many combinations can be made with the clothes benjamin has to choose from? what is the probability that he will wear his favorite combination, tan pants and a white shirt? (show work)

step-by-step explanation:

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1.) 21

2.) 0.453

3.) 1.5

4.) 48

5.) $ 22

step-by-step explanation:

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81