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Algebraic Identity

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

MathematicsIf (5x+2, 3x+10, x+18) are in an arithmetic progression, what is the common difference?Class 10Arithmetic Progressions (AP)Introduction to APs and common difference.Level 62Hard MathematicsWhat is the simplified polynomial form of (x+6)^2-(x-2)^2?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIn which perfect-square form can 16x² − 24x + 9 = 0 be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Easy MathematicsIf (x=\sqrt{6}+\sqrt{5}) and (y=\sqrt{6}-\sqrt{5}), what is (x^2-y^2)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf (\alpha=7+\sqrt{6}) and (\beta=7-\sqrt{6}), what is (\alpha^2+\beta^2)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf (x=\sqrt{5}+\sqrt{2}) and (y=\sqrt{5}-\sqrt{2}), what is (x^2-y^2)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (x=\sqrt{7}-\sqrt{3}), what is (x^2) equal to?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (a=\sqrt{6}+\sqrt{2}) and (b=\sqrt{6}-\sqrt{2}), what is the value of (a^2-b^2)?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsWhich option is equal to ((\sqrt{7}+\sqrt{2})^2-(\sqrt{7}-\sqrt{2})^2)?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsWhich option is equal to (5+2\sqrt{6})?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsIf (A=(3+\sqrt{2})^2-(3-\sqrt{2})^2), what is the correct value and nature of (A)?Class 10Real NumbersIrrational numbersLevel 15Hard