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Factorisation

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich of the following polynomials can be factorised using the identity for the difference of two squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsA student claims that \(49a^2-70ab+25b^2=(7a-5b)^2\). Which statement about the claim is correct?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following quadratic trinomials cannot be factorised into two linear binomials with integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsIf every term of a polynomial has a common factor, what is the most appropriate first step in factorisation?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following quadratic expressions cannot be factorised into two linear factors with integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following expressions has \(x-2y\) as a factor in its complete factorisation?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following expressions can be factorised as a product of conjugate binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following expressions can be factorised directly using the identity for the difference of squares, \(a^2-b^2=(a-b)(a+b)\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsThe area of a rectangular garden is \(6x^2+19x+10\) square units. Which of the following pairs can represent its possible length and breadth?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich is the factorisation of (ab-ac+db-dc)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following expressions is a perfect cube of a binomial and can therefore be factorised using a cube identity?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following expressions is a perfect square of a binomial based on the identity \(a^2-2ab+b^2=(a-b)^2\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following expressions can be factorised using the identity \((A^2-B^2)=(A-B)(A+B)\) without regrouping its terms?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhat is the complete factorisation of (x^3-9x)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following expressions is the square of the binomial \(3p-4q\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following expressions cannot be factorised using the identity for the difference of two squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following trinomials is a perfect-square expression?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsThe area of a square courtyard is \(49a^2-84ab+36b^2\) square units. If \(7a>6b\), what will be the length of its side?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsChoose the correct factorisation of (x^2-2xy+y^2-25).Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following trinomials can be factorised as a perfect square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard