(12+6-5x3)x(2x2+1-7+2) Answer

3 min read Jun 10, 2024

Evaluating the Expression: (12+6-5x3)x(2x2+1-7+2)

In this article, we will evaluate the expression (12+6-5x3)x(2x2+1-7+2) and find its value.

Step 1: Evaluate the expressions inside the parentheses

Let's start by evaluating the expressions inside the parentheses.

(12+6-5x3)

First, let's evaluate the expression 5x3. Since x is not defined, we will assume it's a variable. Therefore, we will leave it as 5x3.

Now, let's add and subtract the numbers:

12 + 6 = 18

Subtract 5x3 from 18:

18 - 5x3

So, (12+6-5x3) = 18 - 5x3.

(2x2+1-7+2)

Evaluate the expression 2x2. Again, since x is not defined, we will leave it as 2x2.

Now, let's add and subtract the numbers:

2x2 + 1 = 2x2 + 1

Subtract 7 from 2x2 + 1:

2x2 + 1 - 7 = 2x2 - 6

Add 2 to 2x2 - 6:

2x2 - 6 + 2 = 2x2 - 4

So, (2x2+1-7+2) = 2x2 - 4.

Step 2: Multiply the two expressions

Now that we have evaluated the expressions inside the parentheses, let's multiply them:

(18 - 5x3) × (2x2 - 4)

To multiply these two expressions, we need to follow the order of operations (PEMDAS):

18 × 2x2 = 36x2

-5x3 × 2x2 = -10x5

18 × -4 = -72

-5x3 × -4 = 20x3

Now, let's add all the terms:

36x2 - 10x5 - 72 + 20x3

So, the final answer is:

(12+6-5x3)x(2x2+1-7+2) = 36x2 - 10x5 - 72 + 20x3

Note that the final answer is an expression containing variables, so it's not a numerical value.

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