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Binomial Square

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

MathematicsA student says that \((x+5)^2=x^2+25\) because both terms were squared separately. Which expression correctly fixes the error?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74MediumMathematicsRima wrote aaa(x+4)^2 as x^2+16. Which term is missing from her expansion?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74MediumMathematicsIf the quadratic expression \(x^2+px+q\) is a perfect square of a binomial, which relation between \(p\) and \(q\) must hold?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74MediumMathematicsWhich feature of the quadratic expression \(x^2+10x+25\) shows that it can be written as \((x+5)^2\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74MediumMathematicsA student writes \((3x+2)^2\) as \(9x^2+4\). Which is the correct quadratic expression after correcting the error?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74MediumMathematicsWhich of the following trinomials can be expressed as the square of a binomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsA student wrote \((x+5)^2\) as \(x^2+25\). What is the error in this expansion?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsRiya expanded \((2x+1)^2\) as \(4x^2+1\). Which term is missing from her expansion?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich of the following expressions can be factorised into two identical binomial factors?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following expressions is a perfect-square trinomial and can be factorised as the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following trinomials is a perfect-square trinomial that can be factorised as the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following expressions is a perfect-square trinomial that can be written as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following trinomials can be factorised as the product of two identical binomials because it is a perfect square?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following trinomials is a perfect square and can be factorised as the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70ExpertMathematicsWhich of the following expressions is a perfect-square trinomial and can therefore be factorised as the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70ExpertMathematicsWhich of the following trinomials is a perfect square and can therefore be factorised as the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70ExpertMathematicsWhich of the following trinomials is a perfect-square trinomial and can therefore be factorised as the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70ExpertMathematicsA student claims that \(9x^2-24xy+16y^2\) factorises as \((3x-4y)^2\). Why is the claim correct?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69ExpertMathematicsWhich of the following polynomials can be factorised as the perfect square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69ExpertMathematicsWhich of the following expressions is a perfect-square trinomial and can therefore be factorised as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard