Question

Help please ill give brainlest

Your friend asks you to check their work. You see the expression 2(10−6)^2 + 3 ⋅4 simplified in the following way:

Original Problem: 2(10−6)^2 + 3 ⋅4
Step 1: 2(4)^2 + 3 ⋅4
Step 2: 8^2 + 3 ⋅4
Step 3: 64 + 3 ⋅4
Step 4: 64 + 12
Step 5: 76

Explain, using complete sentences, in which step and what specifically your friend's error was.

Answer 1

we conclude that the problem is in step 2, and the real solution of the expression is 44.

In which step we can see an error?

We have the expression:

2*(10 - 6)^2 + 3*4

The first step is simplifying the subtraction in the left term, so we get:

2*(10 - 6)^2 + 3*4 = 2*(4)^2 + 3*4

Now, in the next step what your friend does is taking the product:

2*(4)^2 = 8^2

This is wrong, you can't distribute the exponent, so what you need to do here is:

2*(4)^2 = 2*16 = 32

Replacing that in our operation:

2*(4)^2 + 3*4 = 32 + 3*4 = 32 + 12 = 44

Finally, we conclude that the problem is in step 2, and the real solution of the expression is 44.

If you want to learn more about exponents:

https://brainly.com/question/11464095

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