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What is the simplified form of (5(2m-3n)-2(m+n))?व्यंजक (5(2m-3n)-2(m+n)) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(8m-17n\)\(8m-17n\)
Using the distributive property, \(5(2m-3n)=10m-15n\) and \(-2(m+n)=-2m-2n\). Therefore, \(10m-15n-2m-2n=(10m-2m)+(-15n-2n)=8m-17n\). In \(8m-13n\), the \(-2n\) term has not been combined correctly. Exam tip: When a negative coefficient is outside brackets, apply it to every term inside the brackets.वितरण गुण का प्रयोग करने पर \(5(2m-3n)=10m-15n\) तथा \(-2(m+n)=-2m-2n\) मिलता है। अतः \(10m-15n-2m-2n=(10m-2m)+(-15n-2n)=8m-17n\)। विकल्प \(8m-13n\) में \(-2n\) को सही ढंग से नहीं जोड़ा गया है। परीक्षा टिप: कोष्ठक के पहले ऋण चिह्न या ऋण गुणांक हो तो भीतर के प्रत्येक पद का चिह्न अवश्य बदलें।
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