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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।

MathematicsWhat is the expanded form of (x^2-9)(x^2+9)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsWhat is the simplified polynomial form of (2x + 5)^2 - (2x - 1)^2?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf p(x) = x^4 + mx^2 + 16 can be written as (x^2 - 4)^2, what is m?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf \(p(x)=x^3-3x^2+3x-1\), what is the value of \(p(x)\) at \(x=1\)?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf \(p(x)=x^3+3x^2+3x+1\), what is the value of \(p(-2)\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsWhat is the expanded form of (x^2-4)(x^2+4)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf \(\alpha\) and \(\beta\) are the zeroes of the polynomial \(3x^2+2x-1\), what is the value of \((\alpha+\beta)^2\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \(p(x)=x^2+kx+9\) is a perfect-square polynomial and \(k>0\), what is the value of \(k\)?Class 10PolynomialsPolynomials in one variableLevel 47Hard MathematicsWhat is the expanded polynomial form of \((2x+3)^2\)?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsWhat is the expanded polynomial form of (x+3)(x-4)?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf \(x=\sqrt{11}-\sqrt{6}\), what is the value of \(x^2+2\sqrt{66}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsIf \(x=\sqrt{7}-\sqrt{3}\), what is the value of \(x^{2}+2\sqrt{21}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf (y \neq 0), what is the simplified form of (\dfrac{(x+y)^3-(x-y)^3}{2y})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the simplified form of ((x+1)^3-(x-1)^3)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the quotient when ((8x^3+1)) is divided by ((2x+1))?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the simplified form of ((3x+2)^2-(3x-2)^2)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the expansion of ((x-2)(x^2+2x+4))?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the simplified form of ((2m-n)^2-(m+n)^2)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the quotient when ((x^3-27)) is divided by ((x-3))?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the simplified form of ((m+n)^2+(m-n)^2)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard