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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 \(a\neq0\) and \(b\neq0\), what is the simplified form of \(\frac{15a^4b^2}{5a^2b}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsIf \(a\neq 0\), what is the simplified form of \(\dfrac{a^7}{a^3}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsIf \(x\neq0\), what is the simplified form of \(\frac{(x^3)^2\cdot x^{-4}}{x}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsSimplify: \(x^4 \times x^3\)Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Easy MathematicsWhat is the simplified form of (24x^5)/(6x^2) if x ≠ 0?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Easy MathematicsIf \(r\neq 0\), what is the simplified form of \(\frac{r^{10}}{r^6}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Easy MathematicsWhat is the compact form of \(4^2\cdot5^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Easy MathematicsIf (y\ne 0), what is the simplified form of (\frac{y^9}{y^4})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Easy MathematicsWhat is the correct discriminant \(D\) of the quadratic equation \(x^2-2(k+1)x+k^2=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-7x+12=0\), what is the value of \(\frac{\alpha+1}{\alpha-1}+\frac{\beta+1}{\beta-1}\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsWhat is the standard quadratic form of (x + 2)/(x − 1) + (x − 1)/(x + 2) = 5/2?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsAfter simplification, which of the following equations does not remain a quadratic equation in x?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf α and β are roots of x² − 6x − 27 = 0, what is αβ + 3α + 3β?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 28Hard MathematicsWhat is the standard form of the equation \((x+1)(x+2)+(x+3)(x+4)=50\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhich equation is obtained when \((3x+4)^2=7x+16\) is written in standard quadratic form?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium