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If (m=2) and (n=-3), what is the value of (2m^2n+mn^2)?यदि (m=2) और (n=-3), तो (2m^2n+mn^2) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: -6-6
Substituting m=2 and n=-3, we get 2m²n = 2×(2²)×(-3) = -24 and mn² = 2×(-3)² = 18. Therefore, 2m²n + mn² = -24 + 18 = -6. The nearby option 6 can result from incorrectly handling the sign of the negative term. Exam tip: the square of a negative number is positive, so (-3)² = 9.m=2 और n=-3 रखने पर, 2m²n = 2×(2²)×(-3) = -24 तथा mn² = 2×(-3)² = 18 होता है। इसलिए 2m²n + mn² = -24 + 18 = -6। 6 निकट का विकल्प है, पर वह ऋणात्मक पद -24 का चिह्न गलत लेने पर मिल सकता है। परीक्षा टिप: ऋणात्मक संख्या का वर्ग धनात्मक होता है, इसलिए (-3)² = 9।
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