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What is obtained after simplifying (3(5x-2y)-4(2x+y)+6y)?(3(5x-2y)-4(2x+y)+6y) को सरल करने पर क्या मिलेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(7x-4y\)\(7x-4y\)
On expanding, \(3(5x-2y)=15x-6y\) and \(-4(2x+y)=-8x-4y\). Thus the expression becomes \(15x-6y-8x-4y+6y\). Combining like terms gives \(15x-8x=7x\) and \(-6y-4y+6y=-4y\), so the simplified expression is \(7x-4y\). Exam tip: when multiplying a bracket by a negative number, apply the negative sign to every term inside the bracket.कोष्ठक खोलने पर \(3(5x-2y)=15x-6y\) और \(-4(2x+y)=-8x-4y\) मिलता है। अतः पूरा व्यंजक \(15x-6y-8x-4y+6y\) है। समान पदों को मिलाने पर \(15x-8x=7x\) तथा \(-6y-4y+6y=-4y\), इसलिए सरल रूप \(7x-4y\) है। परीक्षा-युक्ति: ऋण चिह्न वाले गुणन में कोष्ठक के प्रत्येक पद का चिह्न बदलना न भूलें।
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