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If (a=2), (b=-1), what is the value of (a^3+3a^2b+2b^3)?यदि (a=2), (b=-1), तो (a^3+3a^2b+2b^3) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: -6-6
Substituting the given values: (a^3+3a^2b+2b^3)=2^3+3(2^2)(-1)+2(-1)^3=8-12-2=-6. Therefore, the correct answer is -6. The value -2 may result from omitting the term 3a²b. Exam tip: An odd power of a negative number remains negative; for example, (-1)^3=-1.दिए गए मान रखने पर: (a^3+3a^2b+2b^3)=2^3+3(2^2)(-1)+2(-1)^3=8-12-2=-6। इसलिए सही उत्तर -6 है। विकल्प -2 तब मिल सकता है जब 3a²b वाले पद को छोड़ दिया जाए। परीक्षा टिप: ऋणात्मक संख्या की विषम घात ऋणात्मक रहती है, जैसे (-1)^3=-1।
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