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If (u=-1) and (v=3), what is the value of (u^2v-uv^2+2u)?यदि (u=-1) और (v=3), तो (u^2v-uv^2+2u) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 1010
Substituting the values, \(u^2v=(-1)^2\times3=3\), \(uv^2=(-1)\times3^2=-9\), and \(2u=2\times(-1)=-2\). Hence, \(u^2v-uv^2+2u=3-(-9)-2=3+9-2=10\). Therefore, 10 is correct. The value 12 would result from omitting the term \(2u=-2\). Exam tip: when subtracting a negative term, remember that \(-(-9)=+9\).दिए गए मान रखने पर, \(u^2v=(-1)^2\times3=3\), \(uv^2=(-1)\times3^2=-9\) और \(2u=2\times(-1)=-2\) मिलता है। अतः \(u^2v-uv^2+2u=3-(-9)-2=3+9-2=10\)। इसलिए सही उत्तर 10 है। 12 तब मिलता है जब \(2u=-2\) पद को छोड़ दिया जाए। परीक्षा टिप: ऋणात्मक पद को घटाते समय \(-(-9)=+9\) का चिह्न अवश्य बदलें।
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