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Mathematics is my favorite subject, but the following question makes me feel that mathematics is pointles and grey:

A binary operation * is defined on the set R of real numbers by a * b= a + b + ab whare a, b belongs to R

(i) calculate 5*(-2)*5

(ii) find the identity element of R under the operation *

(* symbolizes binary operation; that is how it is used in my book.)

HELP ME SOLVE IT!

Since a * b = a + b + ab, this says we only take two numbers at once.

Since the 1st two numbers are 5 and -2, take a=5 and b=-2.

This gives a*b = 5 -2 -10 = 3-10= -7.

We then use -7 and 5 as a and b.

This says that -7 * 5 = -7 + 5 - 35. = -37.

Algebra

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