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If C = n² - 2 and B = 3n +8n² + 2, find an expression that equals 3C + 2B in standard form.

User Sophonie
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Final answer:

To find the expression that equals 3C + 2B in standard form, substitute the values of C and B into the expression and simplify.


Step-by-step explanation:

To find the expression that equals 3C + 2B in standard form, we substitute the values of C and B into the expression and simplify:

3C + 2B = 3(n² - 2) + 2(3n + 8n² + 2)

Expanding this expression, we get:

3C + 2B = 3n² - 6 + 6n + 16n² + 4

Combining like terms, we have:

3C + 2B = 19n² + 6n - 2

This is the expression that equals 3C + 2B in standard form.


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