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What is the simplified form of ( (x+2)(x+6)-(x+3)(x+5) )?( (x+2)(x+6)-(x+3)(x+5) ) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: -3-3
\((x+2)(x+6)=x^2+8x+12\) and \((x+3)(x+5)=x^2+8x+15\). Hence, their difference is \((x^2+8x+12)-(x^2+8x+15)=-3\). Option 3 is incorrect because the \(x^2\) and \(8x\) terms cancel, so no term containing x remains. Exam tip: while subtracting an expression in brackets, change the sign of every term in the second bracket.\((x+2)(x+6)=x^2+8x+12\) तथा \((x+3)(x+5)=x^2+8x+15\)। इसलिए उनका अंतर \((x^2+8x+12)-(x^2+8x+15)=-3\) है। विकल्प 3 गलत है क्योंकि दोनों गुणनफलों के \(x^2\) और \(8x\) पद कट जाते हैं, इसलिए उत्तर में x वाला पद नहीं बचता। परीक्षा टिप: घटाव करते समय दूसरे कोष्ठक के प्रत्येक पद का चिह्न बदलें।
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