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Mathematics Subtraction of Expressions MCQ Questions for Class 9

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(8x + 1) − (3x + 1) का सरल रूप क्या है?

What is the simplified form of (8x + 1) − (3x + 1)?

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Correct Answer

A. 5x

Explanation

Simple Explanation

दूसरे कोष्ठक के आगे ऋण चिह्न होने के कारण उसके दोनों पदों के चिह्न बदलेंगे: (8x + 1) − (3x + 1) = 8x + 1 − 3x − 1। अब समान पदों को मिलाने पर 8x − 3x = 5x और 1 − 1 = 0, इसलिए उत्तर 5x है। विकल्प C में स्थिर पदों का घटाव नहीं किया गया है। परीक्षा-युक्ति: ऋण चिह्न वाले कोष्ठक को हटाते समय कोष्ठक के प्रत्येक पद का चिह्न बदलें। / Because a minus sign precedes the second bracket, the signs of both terms inside it change: (8x + 1) − (3x + 1) = 8x + 1 − 3x − 1. Combining like terms gives 8x − 3x = 5x and 1 − 1 = 0, so the answer is 5x. In option C, the constant terms have not been subtracted correctly. Exam tip: when removing a bracket preceded by a minus sign, change the sign of every term inside the bracket.

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