Using an appropriate polynomial identity, quickly compute the following products. show each step. be sure to state your values for x and a. (a). 41⋅19 (b). 993⋅1,007 (c). 213⋅187 (d). 29⋅51 (e). 125⋅75

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Expresa commuter train leaves downtown sation and travels at a average speed of 55 miles per hour towards the north side sation, which is 50miles away. thirty minutes later, express commuter train #7 leaves north side and travels at a average speed of 35miles per hour towards downtown sation. at the moment the two trains pass each other, how far(in miles) is train #12 from the downtown sation and how long(in minutes) has the #12 train been traveling

Aquadratic equation in standard from is written ax^2= bx+c, where a,b and c are real numbers and a is not zero?