Solution to the Algebraic Expression
To evaluate the given algebraic expression, we need to follow the order of operations (PEMDAS):
(12+6-5x3)x(2x2+1-7+2)
Let's break it down step by step:
Step 1: Evaluate the expressions inside the parentheses
First parentheses:
12+6-5x3
= 12+6-15
(since 5x3 = 15)
= 18-15
= 3
Second parentheses:
2x2+1-7+2
= 4+1-7+2
(since 2x2 = 4)
= 4-6
= -2
Step 2: Multiply the results
Now, multiply the results of the two parentheses:
3 x -2
= -6
Therefore, the final solution to the algebraic expression is -6
.