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Mathematics Simplification MCQ Questions for Class 9

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समान पदों को जोड़कर 8a+a+2a9 का सरलतम रूप क्या होगा?

What is the simplest form of 8a+a+2a9 after combining like terms?

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Correct Answer

B. 4a

Explanation

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यहाँ सभी पद a के समान पद हैं। इनके गुणांकों को जोड़ने पर 1+1+2=4 मिलता है, इसलिए a+a+2a=4a। विकल्प A में एक a कम जोड़ा गया है, जबकि 2a² और a⁴ समान पदों को जोड़ने के बजाय घात बदल देते हैं। परीक्षा टिप: समान पदों को जोड़ते समय चर और उसकी घात वही रहती है; केवल गुणांक जोड़े जाते हैं। / All the terms are like terms because each contains a to the first power. Adding their coefficients gives 1+1+2=4, so a+a+2a=4a. Option A omits one a, while 2a² and a⁴ incorrectly change the power of the variable. Exam tip: when adding like terms, keep the variable and its power unchanged and add only the coefficients.

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