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Algebraic Simplification

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

MathematicsIf y = 2x + 3 and 5x − 2y = 1, what is the value of x?Class 10Pair of Linear Equations in Two VariablesAlgebraic methods: Substitution method and Elimination method.Level 57EasyMathematicsWhich equation is obtained by simplifying (6x+3y=12)?Class 10Pair of Linear Equations in Two VariablesAlgebraic methods: Substitution method and Elimination method.Level 54EasyMathematicsIf \(p(x)=x^2+4x+4\), what is the value of \(p(-2+h)\)?Class 10PolynomialsPolynomials in one variableLevel 48ExpertMathematicsIf \(p(x)=x^2-8x+15\), what is the simplified form of \(p(x)-p(3)\)?Class 10PolynomialsPolynomials in one variableLevel 47ExpertMathematicsIf \(p(x)=x^2-2x+4\), what is the polynomial expression for \(p(x+3)\)?Class 10PolynomialsPolynomials in one variableLevel 47ExpertMathematicsIf p(x) = 2x^2 - 5x + 3, what is p(x + 2) - p(x)?Class 10PolynomialsPolynomials in one variableLevel 48MediumMathematicsIf \(p(x)=3x^2-2x+5\), what is the simplified form of \(p(2x)\)?Class 10PolynomialsPolynomials in one variableLevel 48HardMathematicsIf \(p(x)=2x^2+3x-4\), what is \(p(2x)\)?Class 10PolynomialsPolynomials in one variableLevel 47HardMathematicsIf \(p(x)=x^2-2x+3\), what is \(p(x+1)\)?Class 10PolynomialsPolynomials in one variableLevel 47HardMathematicsWhat is the simplified form of the following expression, where \(b\ne0\)? \(\frac{6b^{-3}+9b^{-3}}{3b^{-5}}\)Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45ExpertMathematicsIf (10^k · 100^3)/(1000^2) = 10^5, what is the value of k?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsFor \(x\ne0\), what is the simplified form of \(\frac{(5x^{-2})^{2}(2x^{4})^{2}}{20x^{4}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45ExpertMathematicsIf \(x^5=3\), what is the value of \(x^{15}+x^{10}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45ExpertMathematicsWhat is the simplified form of (\frac{x^{-4}-y^{-4}}{x^{-2}-y^{-2}}), where (x\neq0), (y\neq0), and (x^{2}\neq y^{2})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45ExpertMathematicsWhat is the simplified form of 8b^{-2}+6b^{-2}9 divided by 5b^{-3}9, where b\ne09?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsWhich option is the simplified form of (x^8 - 81) / (x^4 - 9), where x^4 ≠ 9?Class 10PolynomialsPolynomials in one variableLevel 44MediumMathematicsIf \(y=5+2\sqrt{6}\), what is the value of \(y+\frac{1}{y}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsIf \(x^4=5\), what is the value of \(x^{12}-x^8\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsWhat is the simplified form of ((x^6-64)/(x^3-8)), where (x^3≠8)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44MediumMathematicsWhat is the simplified form of (\frac{x^{-3}-y^{-3}}{x^{-1}-y^{-1}}), where (x\neq0), (y\neq0), and (x\neq y)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert