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What is the factorised form of \(9x^4-30x^2+25\)?\(9x^4-30x^2+25\) का गुणनखंडित (factorised) रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \((3x^2-5)^2\)\((3x^2-5)^2\)
Notice it matches a perfect square: \(9x^4-30x^2+25\) has first term \((3x^2)^2\), last term \(5^2\), and middle term \(2\cdot(3x^2)\cdot(-5)=-30x^2\). Therefore \(9x^4-30x^2+25=(3x^2-5)^2\).यह एक परफेक्ट स्क्वायर जैसा दिखता है: \(9x^4-30x^2+25\) में पहला पद \((3x^2)^2\), अंतिम पद \(5^2\) है, और मध्य पद \(2\cdot(3x^2)\cdot(-5)=-30x^2\) बनता है। इसलिए \(9x^4-30x^2+25=(3x^2-5)^2\).
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