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Algebraic Identities

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

MathematicsIf \(m+n=9\) and \(mn=18\), what is the value of \(m^2+n^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43MediumMathematicsWhich of the following is equal to the expression \(x^2-16x+64\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43MediumMathematicsWhich of the following is equal to the expression \(x^2+14x+49\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43MediumMathematicsWhat is the factorized form of \(49x^2-64\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43MediumMathematicsWhat is the simplified form of \((x+7)(x-7)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43MediumMathematicsWhat is the correct expansion of 8x-69^2?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43MediumMathematicsWhich algebraic law is represented by \(p(q+r)=pq+pr\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45EasyMathematicsWhich of the following is equal to \((a-b)^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45EasyMathematicsIf \(h\neq 0\), what is the simplified form of \(\frac{h^{12}}{h^7}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45EasyMathematicsWhat is the correct simplified form of \((ab)^5\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45EasyMathematicsWhich of the following expressions is equal to \((x-y)^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44EasyMathematicsWhich of the following expressions is not equal to \((a+b)^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43EasyMathematicsA square field has a side length of \(x\) metres. If its side is increased by 12 metres, the area increases by 2448 square metres. What is the original side length \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsWhich of the following is the correct factorised form for solving the equation 3x² − 5x − 2 = 0?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35HardMathematicsIf x² + 4x + 1 = 0, which form is obtained by completing the square?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34MediumMathematicsWhich is the correct factorised form of the equation 11x^2+12x+1=0?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36MediumMathematicsIn which of the following perfect-square forms can the equation \(49x^2-42x+9=0\) be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36MediumMathematicsWhich is the correct factorised form of the equation 7x² + 8x + 1 = 0?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35MediumMathematicsIn which of the following perfect-square forms can the equation \(25x^2-20x+4=0\) be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35MediumMathematicsWhich is the correct factorised form of the equation \(5x^2+6x+1=0\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34Medium