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What is the expansion of ( (m-6)(m+2) )?( (m-6)(m+2) ) का विस्तार क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(m^2-4m-12\)\(m^2-4m-12\)
Using the distributive property, \(m(m+2)-6(m+2)=m^2+2m-6m-12=m^2-4m-12\). Hence, option A is correct. In option B, the like terms \(2m-6m\) have been combined with the wrong sign to get \(+4m\). Exam tip: while multiplying two binomials, write all four products first and then combine like terms.वितरण गुण का प्रयोग करें: \(m(m+2)-6(m+2)=m^2+2m-6m-12=m^2-4m-12\)। इसलिए विकल्प A सही है। विकल्प B में \(2m-6m\) का चिह्न गलत लेकर \(+4m\) किया गया है। परीक्षा टिप: द्विपदों का गुणन करते समय चारों गुणनफल लिखकर समान पदों को अंत में मिलाएँ।
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