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(2p(p-3)+4(p+1)) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (2p(p-3)+4(p+1))?
Explanation opens after your attempt
Correct Answer
A. \(2p^2-2p+4\)
Step 1
Concept
(2p(p-3)=2p-2-6p) and (4(p+1)=4p+4). Combining gives \(2p^2-2p+4\).
Step 2
Why this answer is correct
The correct answer is A. \(2p^2-2p+4\). (2p(p-3)=2p-2-6p) and (4(p+1)=4p+4). Combining gives \(2p^2-2p+4\).
Step 3
Exam Tip
(2p(p-3)=2p-2-6p) और (4(p+1)=4p+4)। मिलाने पर \(2p^2-2p+4\) मिलेगा।
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\(x^2+2x-3\) और \(2x^2-x+4\) का योग क्या होगा?
What is the sum of \(x^2+2x-3\) and \(2x^2-x+4\)?
Explanation opens after your attempt
Correct Answer
A. \(3x^2+x+1\)
Step 1
Concept
Adding like terms gives \(x^2+2x^2=3x^2\), (2x-x=x), and (-3+4=1).
Step 2
Why this answer is correct
The correct answer is A. \(3x^2+x+1\). Adding like terms gives \(x^2+2x^2=3x^2\), (2x-x=x), and (-3+4=1).
Step 3
Exam Tip
समान पद जोड़ने पर \(x^2+2x^2=3x^2\), (2x-x=x) और (-3+4=1)।
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\(5x^2-3x+8\) में से \(2x^2+4x-1\) घटाने पर क्या मिलेगा?
What is obtained by subtracting \(2x^2+4x-1\) from \(5x^2-3x+8\)?
Explanation opens after your attempt
Correct Answer
B. \(3x^2-7x+9\)
Step 1
Concept
Subtraction gives (5x-2-3x+8-\(2x^2+4x-1\)). The simplified form is \(3x^2-7x+9\).
Step 2
Why this answer is correct
The correct answer is B. \(3x^2-7x+9\). Subtraction gives (5x-2-3x+8-\(2x^2+4x-1\)). The simplified form is \(3x^2-7x+9\).
Step 3
Exam Tip
घटाने पर (5x-2-3x+8-\(2x^2+4x-1\)) मिलेगा। सरल रूप \(3x^2-7x+9\) है।
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किस व्यंजक में (x) और (y) दोनों की कुल घात (5) है?
In which expression is the total power of (x) and (y) equal to (5)?
Explanation opens after your attempt
Correct Answer
A. \(x^2y^3\)
Step 1
Concept
In \(x^2y^3\), the total power is (2+3=5). In a multivariable term, add the powers to get the total power.
Step 2
Why this answer is correct
The correct answer is A. \(x^2y^3\). In \(x^2y^3\), the total power is (2+3=5). In a multivariable term, add the powers to get the total power.
Step 3
Exam Tip
\(x^2y^3\) में कुल घात (2+3=5) है। बहु-चर पद में घातें जोड़कर कुल घात मिलती है।
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कौन-सा व्यंजक \(2x^2-3xy+y^2\) में \(-x^2+5xy-4y^2\) जोड़ने पर मिलता है?
Which expression is obtained by adding \(-x^2+5xy-4y^2\) to \(2x^2-3xy+y^2\)?
Explanation opens after your attempt
Correct Answer
A. \(x^2+2xy-3y^2\)
Step 1
Concept
Adding like terms gives \(2x^2-x^2=x^2\), (-3xy+5xy=2xy), and \(y^2-4y^2=-3y^2\).
Step 2
Why this answer is correct
The correct answer is A. \(x^2+2xy-3y^2\). Adding like terms gives \(2x^2-x^2=x^2\), (-3xy+5xy=2xy), and \(y^2-4y^2=-3y^2\).
Step 3
Exam Tip
समान पद जोड़ने पर \(2x^2-x^2=x^2\), (-3xy+5xy=2xy), और \(y^2-4y^2=-3y^2\)।
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