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Add: [tex](12bc - 16cd) + (8cd - 6bc + 4bd)[/tex]

A. [tex]20bc - 22cd + 4bd[/tex]

B. [tex]6b^2c^2 - 8c^2d^2 + 4bd[/tex]

C. [tex]2bcd[/tex]

D. [tex]6bc - 8cd + 4bd[/tex]

Sagot :

GinnyAnswer
Sure, let's go through the addition of the two given polynomials step by step.

Given polynomials:
1. [tex]\( P_1 = 12bc - 16cd \)[/tex]
2. [tex]\( P_2 = 8cd - 6bc + 4bd \)[/tex]

We need to add [tex]\( P_1 \)[/tex] and [tex]\( P_2 \)[/tex]:

[tex]\[ P_1 + P_2 = (12bc - 16cd) + (8cd - 6bc + 4bd) \][/tex]

Let's rearrange and combine like terms:

[tex]\[ (12bc - 6bc) + (-16cd + 8cd) + 4bd \][/tex]

Now let's perform the addition step by step:

1. Combine the [tex]\( bc \)[/tex]-terms:
[tex]\[ 12bc - 6bc = 6bc \][/tex]

2. Combine the [tex]\( cd \)[/tex]-terms:
[tex]\[ -16cd + 8cd = -8cd \][/tex]

3. The term [tex]\( 4bd \)[/tex] does not have any like terms to combine with:
[tex]\[ 4bd \][/tex]

Putting it all together, we get:

[tex]\[ 6bc - 8cd + 4bd \][/tex]

So the result of adding the polynomials is:

[tex]\[ 6bc - 8cd + 4bd \][/tex]

This is the simplified form of the sum of the two given polynomials.
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