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Algebraic Expansion

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

MathematicsIf \(p(x)=x^2+4x+6\), what is the simplified form of \(p(x-1)\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsWhat is the expansion of \((4x+5)(x-3)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsWhat is the expansion of (x+6)(x+4)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsWhat is the expansion of (3x+1)(x-4)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsWhat is the expanded form of the polynomial \(3x(2x^2-5x+4)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsWhat is the expansion of \( (2x+3)(x-2) \)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsWhat is the expanded form of the algebraic expression 2x(3x^2-4x+1)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsWhat is the expansion of the expression \(3(x+4)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Easy MathematicsWhat is the discriminant \(D\) of the quadratic equation \(x^2-2(k-3)x+k^2=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf the identity \\((x+a)^2=x^2-20x+100\\) is true for all \\(x\\), what is the value of \\(a\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsA rectangle has length \(x+9\) units and breadth \(x-6\) units. If its area is 130 square units, which quadratic equation is formed?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat is the standard form of the equation (x+4)(x+7)+(x−3)(x+6)=88?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat is the standard form of the equation 2(x−1)² + 3(x+2)² = 65?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsThe length of a rectangle is \\(2x+1\\) units and its breadth is \\(x-4\\) units. If its area is \\(45\\) square units, which quadratic equation represents this situation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsA right triangle has a base of \((x+3)\) units, a height of \((x+7)\) units, and an area of 55 square units. Which quadratic equation represents this situation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsA rectangle has length \((x+8)\) and breadth \((x-5)\). If its area is \(104\) square units, which quadratic equation correctly represents this situation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhat is the standard form \(ax^2+bx+c=0\) of the equation \((x+2)^2+2(x-3)^2=35\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhat is the standard form of \((x-2)(x+3)+(2x-1)(x-4)=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsA right triangle has a base of (x+2) units and a height of (x+6) units. If its area is 40 square units, which quadratic equation in x is correct?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhat is the standard form ax^2+bx+c=0) of the equation (x+2)(x+5)+(x-1)(x+4)=609?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard