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Which is the factorisation of \(16a^2-40ab+25b^2\)?\(16a^2-40ab+25b^2\) का गुणनखंडन कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \((4a-5b)^2\)\((4a-5b)^2\)
Notice \(16a^2=(4a)^2\) and \(25b^2=(5b)^2\), and the middle term is \(-40ab=-2(4a)(5b)\). So it matches \((a-b)^2=a^2-2ab+b^2\):
\(16a^2-40ab+25b^2=(4a-5b)^2\).ध्यान दें कि \(16a^2=(4a)^2\) और \(25b^2=(5b)^2\) है, तथा मध्य पद \(-40ab=-2(4a)(5b)\) है। यह \((a-b)^2=a^2-2ab+b^2\) से मेल खाता है:
\(16a^2-40ab+25b^2=(4a-5b)^2\)।
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