(\(6x^2y\)\(3xy^4\)) का गुणनफल क्या है?
What is the product of (\(6x^2y\)\(3xy^4\))?
#polynomials
#monomial multiplication
#exponents
A \(18x^3y^5\)
B \(9x^3y^5\)
C \(18x^2y^4\)
D \(18x^4y^4\)
Explanation opens after your attempt
Correct Answer
A. \(18x^3y^5\)
Step 1
Concept
The coefficient is (18), \(x^{2+1}=x^3\), and \(y^{1+4}=y^5\). Add exponents of like bases.
Step 2
Why this answer is correct
The correct answer is A. \(18x^3y^5\). The coefficient is (18), \(x^{2+1}=x^3\), and \(y^{1+4}=y^5\). Add exponents of like bases.
Step 3
Exam Tip
गुणांक (18), \(x^{2+1}=x^3\) और \(y^{1+4}=y^5\) है। समान आधार की घातें जोड़ें।
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(\(5x^3y\)\(2xy^2\)) का गुणनफल क्या है?
What is the product of (\(5x^3y\)\(2xy^2\))?
#polynomials
#monomial multiplication
#exponents
A \(10x^4y^3\)
B \(7x^4y^3\)
C \(10x^3y^2\)
D \(10x^6y^2\)
Explanation opens after your attempt
Correct Answer
A. \(10x^4y^3\)
Step 1
Concept
The coefficient is (10), \(x^{3+1}=x^4\), and \(y^{1+2}=y^3\). Add exponents of like bases.
Step 2
Why this answer is correct
The correct answer is A. \(10x^4y^3\). The coefficient is (10), \(x^{3+1}=x^4\), and \(y^{1+2}=y^3\). Add exponents of like bases.
Step 3
Exam Tip
गुणांक (10), \(x^{3+1}=x^4\) और \(y^{1+2}=y^3\) है। समान आधार की घातें जोड़ें।
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(\(3x^2y\)\(4xy^3\)) का गुणनफल क्या है?
What is the product of (\(3x^2y\)\(4xy^3\))?
#polynomials
#monomial multiplication
#exponents
A \(12x^3y^4\)
B \(7x^3y^4\)
C \(12x^2y^3\)
D \(12x^4y^3\)
Explanation opens after your attempt
Correct Answer
A. \(12x^3y^4\)
Step 1
Concept
The coefficient is (12), \(x^{2+1}=x^3\), and \(y^{1+3}=y^4\). Add exponents of like bases.
Step 2
Why this answer is correct
The correct answer is A. \(12x^3y^4\). The coefficient is (12), \(x^{2+1}=x^3\), and \(y^{1+3}=y^4\). Add exponents of like bases.
Step 3
Exam Tip
गुणांक (12), \(x^{2+1}=x^3\) और \(y^{1+3}=y^4\) है। समान आधार की घातें जोड़ें।
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\(5x^4\cdot2x^3\) का गुणनफल क्या है?
What is the product of \(5x^4\cdot2x^3\)?
#polynomials
#monomial multiplication
#exponents
A \(7x^7\)
B \(10x^7\)
C \(10x^{12}\)
D (10x)
Explanation opens after your attempt
Correct Answer
B. \(10x^7\)
Step 1
Concept
The coefficients give \(5\cdot2=10\), and \(x^4\cdot x^3=x^7\). So the product is \(10x^7\).
Step 2
Why this answer is correct
The correct answer is B. \(10x^7\). The coefficients give \(5\cdot2=10\), and \(x^4\cdot x^3=x^7\). So the product is \(10x^7\).
Step 3
Exam Tip
गुणांक \(5\cdot2=10\) और \(x^4\cdot x^3=x^7\) है। इसलिए गुणनफल \(10x^7\) है।
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\(6x\cdot5x^2\) का गुणनफल क्या है?
What is the product of \(6x\cdot5x^2\)?
#polynomials
#monomial multiplication
#exponents
A \(11x^3\)
B \(30x^2\)
C \(30x^3\)
D \(30x^4\)
Explanation opens after your attempt
Correct Answer
C. \(30x^3\)
Step 1
Concept
The coefficients give \(6\cdot5=30\), and \(x\cdot x^2=x^3\). Therefore the answer is \(30x^3\).
Step 2
Why this answer is correct
The correct answer is C. \(30x^3\). The coefficients give \(6\cdot5=30\), and \(x\cdot x^2=x^3\). Therefore the answer is \(30x^3\).
Step 3
Exam Tip
गुणांक \(6\cdot5=30\) और \(x\cdot x^2=x^3\) है। इसलिए उत्तर \(30x^3\) है।
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\(4x^3\cdot3x^2\) का गुणनफल क्या है?
What is the product of \(4x^3\cdot3x^2\)?
#polynomials
#monomial multiplication
#exponents
A \(7x^5\)
B \(12x^5\)
C \(12x^6\)
D (12x)
Explanation opens after your attempt
Correct Answer
B. \(12x^5\)
Step 1
Concept
The coefficients give \(4\cdot3=12\), and \(x^3\cdot x^2=x^5\). So the product is \(12x^5\).
Step 2
Why this answer is correct
The correct answer is B. \(12x^5\). The coefficients give \(4\cdot3=12\), and \(x^3\cdot x^2=x^5\). So the product is \(12x^5\).
Step 3
Exam Tip
गुणांक \(4\cdot3=12\) और \(x^3\cdot x^2=x^5\) है। इसलिए गुणनफल \(12x^5\) है।
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\(5x\cdot4x^3\) का गुणनफल क्या है?
What is the product of \(5x\cdot4x^3\)?
#polynomials
#monomial multiplication
#exponents
A \(9x^4\)
B \(20x^3\)
C \(20x^4\)
D \(20x^5\)
Explanation opens after your attempt
Correct Answer
C. \(20x^4\)
Step 1
Concept
The coefficients give \(5\cdot4=20\), and \(x\cdot x^3=x^4\). Therefore the answer is \(20x^4\).
Step 2
Why this answer is correct
The correct answer is C. \(20x^4\). The coefficients give \(5\cdot4=20\), and \(x\cdot x^3=x^4\). Therefore the answer is \(20x^4\).
Step 3
Exam Tip
गुणांक \(5\cdot4=20\) और \(x\cdot x^3=x^4\) है। इसलिए उत्तर \(20x^4\) है।
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\(3x^2\cdot2x\) का गुणनफल क्या है?
What is the product of \(3x^2\cdot2x\)?
#polynomials
#monomial multiplication
#exponents
A \(5x^3\)
B \(6x^2\)
C \(6x^3\)
D (6x)
Explanation opens after your attempt
Correct Answer
C. \(6x^3\)
Step 1
Concept
The coefficients give \(3\cdot2=6\), and \(x^2\cdot x=x^3\). So the product is \(6x^3\).
Step 2
Why this answer is correct
The correct answer is C. \(6x^3\). The coefficients give \(3\cdot2=6\), and \(x^2\cdot x=x^3\). So the product is \(6x^3\).
Step 3
Exam Tip
गुणांक \(3\cdot2=6\) और \(x^2\cdot x=x^3\) है। इसलिए गुणनफल \(6x^3\) है।
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\(4x\cdot3x^2\) का गुणनफल क्या है?
What is the product of \(4x\cdot3x^2\)?
#polynomials
#monomial multiplication
#exponents
A \(7x^3\)
B \(12x^2\)
C \(12x^3\)
D \(12x^4\)
Explanation opens after your attempt
Correct Answer
C. \(12x^3\)
Step 1
Concept
First multiply coefficients \(4\cdot3=12\), then \(x\cdot x^2=x^3\). Therefore the answer is \(12x^3\).
Step 2
Why this answer is correct
The correct answer is C. \(12x^3\). First multiply coefficients \(4\cdot3=12\), then \(x\cdot x^2=x^3\). Therefore the answer is \(12x^3\).
Step 3
Exam Tip
पहले गुणांक \(4\cdot3=12\) और फिर \(x\cdot x^2=x^3\) करें। इसलिए उत्तर \(12x^3\) है।
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