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What is the simplified form of (3(2x-y)-2(x-3y)+4y)?व्यंजक (3(2x-y)-2(x-3y)+4y) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(4x+7y\)\(4x+7y\)
On expanding the brackets, \(3(2x-y)=6x-3y\) and \(-2(x-3y)=-2x+6y\). Therefore, the expression becomes \(6x-3y-2x+6y+4y=4x+7y\). The option \(4x+13y\) results from an incorrect combination of the \(y\)-terms. Exam tip: When multiplying a bracket by a negative number, apply the sign change to every term inside it.कोष्ठक खोलने पर \(3(2x-y)=6x-3y\) और \(-2(x-3y)=-2x+6y\) मिलता है। अतः पूरा व्यंजक \(6x-3y-2x+6y+4y=4x+7y\) है। विकल्प \(4x+13y\) में \(y\)-पदों को जोड़ते समय त्रुटि होती है। परीक्षा टिप: ऋणात्मक संख्या से कोष्ठक गुणा करते समय प्रत्येक पद का चिन्ह बदलना न भूलें।
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