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The area expression \(v^2+13v+36\) is represented as a rectangle. Which pair of side lengths is correct?क्षेत्रफल व्यंजक \(v^2+13v+36\) को एक आयत के रूप में दिखाया गया है। भुजाओं की कौन-सी जोड़ी सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: v+4 and v+9v+4 and v+9
The correct answer is B: \(v+4\) and \(v+9\). Their product is \((v+4)(v+9)=v^2+9v+4v+36=v^2+13v+36\). The numbers 4 and 9 multiply to 36 and add to 13, giving the required constant and middle terms.सही उत्तर B है: \(v+4\) और \(v+9\)। उनका गुणनफल \((v+4)(v+9)=v^2+9v+4v+36=v^2+13v+36\) है। 4 और 9 का गुणनफल 36 तथा योग 13 है, इसलिए स्थिर पद और बीच का पद दोनों सही मिलते हैं।
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