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X to the power 5 2 x to the power 4 plus x to the power 3 minus 2 x to the power 2 X - 1 divided by X - 1?
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X to the power 5 2 x to the power 4 plus x to the power 3 minus 2 x ...
Question:
Evaluate the expression (x^5 + 2x^4 + x^3 - 2x^2)(x - 1) / (x - 1)
Solution:
To evaluate the given expression, we will simplify it step by step.
Step 1: Simplify the numerator:
The numerator of the expression is (x^5 + 2x^4 + x^3 - 2x^2).
We can simplify it by factoring out common terms:
x^5 + 2x^4 + x^3 - 2x^2 = x^2(x^3 + 2x^2 + x - 2)
Step 2: Simplify the denominator:
The denominator of the expression is (x - 1).
Since the numerator and denominator both have a common factor of (x - 1), we can cancel it out.
(x^2(x^3 + 2x^2 + x - 2)) / (x - 1) = x^2(x^3 + 2x^2 + x - 2) / (x - 1)
Step 3: Simplify the expression:
Now, we have the simplified expression: x^2(x^3 + 2x^2 + x - 2) / (x - 1)
Step 4: Expand the numerator:
We can expand the numerator by distributing the x^2 to each term inside the parentheses:
x^2(x^3 + 2x^2 + x - 2) = x^5 + 2x^4 + x^3 - 2x^2
Step 5: Simplify the expression further:
Now, we have the simplified expression: x^5 + 2x^4 + x^3 - 2x^2 / (x - 1)
Step 6: Final answer:
The final answer is x^5 + 2x^4 + x^3 - 2x^2 / (x - 1)
To summarize:
(x^5 + 2x^4 + x^3 - 2x^2)(x - 1) / (x - 1) simplifies to x^5 + 2x^4 + x^3 - 2x^2.
Evaluate the expression (x^5 + 2x^4 + x^3 - 2x^2)(x - 1) / (x - 1)
Solution:
To evaluate the given expression, we will simplify it step by step.
Step 1: Simplify the numerator:
The numerator of the expression is (x^5 + 2x^4 + x^3 - 2x^2).
We can simplify it by factoring out common terms:
x^5 + 2x^4 + x^3 - 2x^2 = x^2(x^3 + 2x^2 + x - 2)
Step 2: Simplify the denominator:
The denominator of the expression is (x - 1).
Since the numerator and denominator both have a common factor of (x - 1), we can cancel it out.
(x^2(x^3 + 2x^2 + x - 2)) / (x - 1) = x^2(x^3 + 2x^2 + x - 2) / (x - 1)
Step 3: Simplify the expression:
Now, we have the simplified expression: x^2(x^3 + 2x^2 + x - 2) / (x - 1)
Step 4: Expand the numerator:
We can expand the numerator by distributing the x^2 to each term inside the parentheses:
x^2(x^3 + 2x^2 + x - 2) = x^5 + 2x^4 + x^3 - 2x^2
Step 5: Simplify the expression further:
Now, we have the simplified expression: x^5 + 2x^4 + x^3 - 2x^2 / (x - 1)
Step 6: Final answer:
The final answer is x^5 + 2x^4 + x^3 - 2x^2 / (x - 1)
To summarize:
(x^5 + 2x^4 + x^3 - 2x^2)(x - 1) / (x - 1) simplifies to x^5 + 2x^4 + x^3 - 2x^2.
Community Answer
X to the power 5 2 x to the power 4 plus x to the power 3 minus 2 x ...
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X to the power 5 2 x to the power 4 plus x to the power 3 minus 2 x to the power 2 X - 1 divided by X - 1?
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X to the power 5 2 x to the power 4 plus x to the power 3 minus 2 x to the power 2 X - 1 divided by X - 1? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about X to the power 5 2 x to the power 4 plus x to the power 3 minus 2 x to the power 2 X - 1 divided by X - 1? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X to the power 5 2 x to the power 4 plus x to the power 3 minus 2 x to the power 2 X - 1 divided by X - 1?.
X to the power 5 2 x to the power 4 plus x to the power 3 minus 2 x to the power 2 X - 1 divided by X - 1? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about X to the power 5 2 x to the power 4 plus x to the power 3 minus 2 x to the power 2 X - 1 divided by X - 1? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X to the power 5 2 x to the power 4 plus x to the power 3 minus 2 x to the power 2 X - 1 divided by X - 1?.
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