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20 votes
20 votes
Please help me and thank you!! Show the steps also please I got 198x

Please help me and thank you!! Show the steps also please I got 198x-example-1
User Alpha Bravo
by
2.8k points

2 Answers

22 votes
22 votes

Answer:

= 198x

Explanation:

11x × { 96x ÷ 4x -6}

11x × { 24x -6}

264x - 66x

= 198x

You got the correct answer

User Foufa
by
3.0k points
19 votes
19 votes

9514 1404 393

Answer:

264x³-66x

Explanation:

The order of operations requires this be evaluated as ...

11x(96x÷4x -6) . . . . given

11x(24x·x -6) . . . . . . division inside parentheses

11x(24x² -6) . . . . . . multiplication inside parentheses

264x³ -66x . . . . . multiply by outside factor (use the distributive property)

_____

Additional comment

The appearance of the expression in parentheses may induce you to evaluate it as (96x)÷(4x) = 24. The order of operations requires that you do the division before the multiplication, left to right, so this must be evaluated as ...

((96x)÷4)x = 24x²

You need to be very careful with division and with exponents to make sure to follow the Order of Operations exactly. If you have an appropriate calculator, it will do that automatically. For example, if you tell your calculator ...

(for x=2) 11×2×(96×2÷4×2-6)

it should give you the result 1980, not 396.

User Yannick Funk
by
3.0k points