Answered

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Solve for [tex]x[/tex]:

[tex]\[3x = 6x - 2\][/tex]

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Simplify the expression:

[tex]\[(7m - 5n)^3 - (7m + 5n)^3\][/tex]

A. [tex]\[1470m^2n - 250n^3\][/tex]
B. [tex]\[1470m^2n + 250n^3\][/tex]
C. [tex]\[-1470m^2n - 250n^3\][/tex]
D. [tex]\[-1470m^2n + 250n^3\][/tex]

Sagot :

GinnyAnswer
To determine the value of [tex]\((7m - 5n)^3 - (7m + 5n)^3\)[/tex], let's break it down step by step.

We start with the expressions:
- [tex]\((7m - 5n)^3\)[/tex]
- [tex]\((7m + 5n)^3\)[/tex]

Next, remember that we aim to find the result of their difference:
[tex]\[ (7m - 5n)^3 - (7m + 5n)^3 \][/tex]

Given the final result, we have:
[tex]\[ (7m - 5n)^3 - (7m + 5n)^3 = -1470m^2 n - 250n^3 \][/tex]

Now, comparing this result with the given multiple choices:

A) [tex]\( 1470 m^2 n - 250 n^3 \)[/tex]
B) [tex]\( 1470 m^2 n + 250 n^3 \)[/tex]
C) [tex]\( -1470 m^2 n - 250 n^3 \)[/tex]
D) [tex]\( -1470 m^2 n + 250 n^3 \)[/tex]

The correct choice corresponding to [tex]\(-1470m^2 n - 250n^3\)[/tex] is:
C) [tex]\(-1470 m^2 n - 250 n^3\)[/tex]

Thus, the correct answer is:
C) [tex]\( -1470 m^2 n - 250 n^3 \)[/tex]
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