Question

Which of the following expressions is not equivalent to (-2)(8 +6+-3)?

(-2)(8 + 6) + (-2)(-3)
(-2)(8 + 6) + (-3)
(-2)(8) + (-2)(6) + (-2)(-3)
(-2)(8) + (-2)(6 +-3)
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Answer 1

`b.)31\\eq -22`

Explanation:

Simplify each equation using PEMDAS:

Parentheses (x)

Exponents x²

Multiplication and Division, left to right × ÷

Addition and Subtraction, left to right - +

It is also important to follow PEMDAS when working within grouping symbols like parentheses.

Also, remember that two negatives make a positive, and when a negative and positive are multiplied, the result is always negative.

`(-2)(8+6+-3)\\\\-2*(8+6-3)\\\\-2*(14-3)\\\\-2*11\\\\-22`

Find which answer is not equal to -22.

a.)
`(-2)(8+6)+(-2)(-3)\\\\-2*(8+6)-2*-3\\\\-2*14-2*-3\\\\-28-2*-3\\\\-28+6\\\\-22`

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b.)
`(-2)*(8+6)+(-3)\\\\-2*(8+6)-3\\\\-2*14-3\\\\-28-3\\\\-31`

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c.)
`(-2)(8)+(-2)(6)+(-2)(-3)\\\\-2*8-2*6-2*-3\\\\-16-2*6-2*-3\\\\-16-12-2*-3\\\\-16-12+6\\\\-28+6\\\\-22`

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d.)
`(-2)(8)+(-2)(6+-3)\\\\-2*8-2*(6-3)\\\\-2*8-2*3\\\\-16-2*3\\\\-16-6\\\\-22`

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Option b is not equal to -22.

:Done