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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 \(a\) and \(b\) are non-zero real numbers and \(m,n\) are integers, which of the following law of exponents is always valid?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43HardMathematicsWhat is the quotient when ((x^3-8)) is divided by ((x-2))?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43HardMathematicsWhat is the simplified form of ((p+q)^2-(p-q)^2)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43HardMathematicsIf (x \neq y), what is the simplified form of (\dfrac{x^2-y^2}{x-y})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43HardMathematicsIf (x+y=10) and (x^2+y^2=58), what is the value of (xy)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsWhat is the factorized form of \(100x^2-121y^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsWhat is the simplified form of (7x+6)(7x-6) ?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsWhat is the expansion of \\((5x+2)^2\\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsWhat is the expansion of \((4x-5)^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsUsing an algebraic identity, find the value of \(72\cdot68\).Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsWhat is the value of \(104^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsUsing an algebraic identity, find the correct value of \\(97)^2.Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsIf \(a-b=8\) and \(ab=12\), what is the value of \(a^2+b^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsIf m + n = 13 and mn = 36, what is the value of m² + n²?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsWhat is x^2-24x+144 equal to?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsWhat is \(x^2+22x+121\) equal to?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsWhat is the factorized form of the polynomial \(121x^2-144\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsWhat is the simplified form of \\(x+12)(x-12)\\?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsWhat is the correct expansion of \((x-11)^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45MediumMathematicsWhat is the correct expansion of 8x+109^2?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium