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Which expression is equivalent to the expression shown?
4(-9 + (-3) + 8)

A
4(12 + 8)

B
4(-9) + 4(3 + 8)

C
4(1) + 4(-3)

D
4(-9) + 4(5)

Sagot :

The answer would be D.

The equivalent expression is 4(-9)+4(5), so option D is correct.

Equivalent expression:

Important information:

  • The given expression is [tex]4(-9+(-3)+8)[/tex].

The given expression can be written as:

[tex]=4(-9+(-3+8))[/tex]

[tex]=4(-9+5)[/tex]

[tex]=4(-9)+4(5)[/tex]

So, option D is correct.

The value of the given expression is:

[tex]4(-9+(-3)+8)=4(-4)[/tex]

[tex]4(-9+(-3)+8)=-16[/tex]

The value of other expressions are:

[tex]4(12+8)=80\neq -16[/tex]

[tex]4(-9)+4(3+8)=8\neq -16[/tex]

[tex]4(1)+4(-3)=-8\neq -16[/tex]

[tex]4(-9)+4(5)=-16[/tex]

It means options A, B and C are incorrect.

Therefore, the equivalent expression is 4(-9)+4(5), so option D is correct.

Find out more about 'Equivalent expression' here:

https://brainly.com/question/24242989

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