After simplifying (7x^2y-3xy+4x^2y+2xy-6), which term will not remain?(7x^2y-3xy+4x^2y+2xy-6) को सरल करने पर कौन-सा पद नहीं रहेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(5xy\)\(5xy\)
Combining like terms gives \(7x^2y+4x^2y=11x^2y\) and \(-3xy+2xy=-xy\). Therefore, the simplified expression is \(11x^2y-xy-6\), which does not contain the term \(5xy\). The close distractor \(-xy\) does remain because the coefficients of the \(xy\) terms add to \(-3+2=-1\), not \(5\). Exam tip: Add or subtract only those terms that have exactly the same variables raised to the same powers.समान पदों को जोड़ने पर \(7x^2y+4x^2y=11x^2y\) तथा \(-3xy+2xy=-xy\) मिलता है। अतः व्यंजक का सरल रूप \(11x^2y-xy-6\) है, जिसमें \(5xy\) पद नहीं रहता। \(-xy\) निकटतम भ्रामक विकल्प है, क्योंकि \(xy\) वाले पदों के गुणांक \(-3+2=-1\) हैं, \(5\) नहीं। परीक्षा टिप: केवल समान चर और समान घात वाले पदों के गुणांकों को ही जोड़ें या घटाएँ।
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