(10x2+2x4+8+7x3)÷(2x2+x-1)

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Jun 07, 2024

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Evaluating the Expression: (10x2+2x4+8+7x3)÷(2x2+x-1)

In this article, we will evaluate the expression (10x2+2x4+8+7x3)÷(2x2+x-1) and simplify it to its simplest form.

Step 1: Evaluate the Numerator

The numerator of the expression is 10x2+2x4+8+7x3. Let's evaluate each term:

• 10x2 = 20x
• 2x4 = 8x
• 8 remains the same
• 7x3 = 21x

Now, combine like terms:

20x + 8x + 8 + 21x

Combine like terms:

49x + 8

Step 2: Evaluate the Denominator

The denominator of the expression is 2x2+x-1. Let's evaluate each term:

• 2x2 = 2x²
• x remains the same
• -1 remains the same

Now, combine like terms:

2x² + x - 1

Step 3: Divide the Numerator by the Denominator

Now, divide the numerator by the denominator:

(49x + 8) ÷ (2x² + x - 1)

To simplify this expression, we can start by dividing each term in the numerator by the denominator:

• 49x ÷ (2x² + x - 1)
• 8 ÷ (2x² + x - 1)

Unfortunately, this expression cannot be simplified further due to the complexity of the denominator.

Conclusion

The final simplified expression is:

(49x + 8) ÷ (2x² + x - 1)

Note that this expression cannot be simplified further without additional constraints or assumptions about the variables involved.