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Polynomial Identities

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich of the following polynomials can be expressed as the square of a binomial?Class 10PolynomialsPolynomials in one variableLevel 47Hard MathematicsIf \(r=\sqrt{21}+\sqrt{14}\), what is the value of \(r^2-14\sqrt{6}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsIf \(a-b=7\) and \(ab=10\), what is the value of \(a^2+b^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsIf the quadratic equation \(x^2-18x+c=0\) can be written as a perfect square, what is the value of \(c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsThe roots of the equation \\(x^2-5x+2=0\\) are \\(\\alpha\\) and \\(\\beta\\). What is the value of \\(\\alpha+\\beta+2\\alpha\\beta\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf the equation \(x^2+6x+c=0\) is a perfect-square quadratic equation, what is the value of \(c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf one root of the equation \(x^2-(m+2)x+2m=0\) is \(2\), what is the other root?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf x = \sqrt{6} + \sqrt{2}, what is the value of x^2?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert