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MA_775_DIABLO [31]
3 years ago
12

What is the simplified expression for Negative 3 c d minus d (2 c minus 4) minus 4 d? Negative 5 c d c d minus 8 d 5 c d minus 8

d Negative 5 c d minus 8 d
Mathematics
1 answer:
Pavel [41]3 years ago
5 0

Question

What is the simplified expression for Negative 3 c d minus d (2 c minus 4) minus 4 d?

a) Negative 5 c d

b) c d minus 8 d

c) 5 c d minus 8 d

d) Negative 5 c d minus 8 d

Answer:

a) Negative 5cd or -5cd

Step-by-step explanation:

The question asks:

What is the simplified expression for Negative 3 c d minus d (2 c minus 4) minus 4 d?

This is expressed mathematically as:

-3cd - d(2c - 4) - 4d

= -3cd -2cd + 4d - 4d

= -5cd + 0

= -5cd

The answer is negative 5cd(in words) or - 5cd

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Your friend Mel says he has an easier way to solve this problem. Here are the first steps in his method.
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Simplifying

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Solving

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Factor out the Greatest Common Factor (GCF), '2'.

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Factor a trinomial.

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Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying

-5 + -1x = 0

Solving

-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0

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Simplifying

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