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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।

MathematicsA tile model arranges (x^2+11x+30) as a rectangle. If one side is (x+5), what will be the other side?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Expert MathematicsA tile arrangement \(x^2+15x+54\) forms a rectangle. Which constant strips make this arrangement possible?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Expert MathematicsA model shows m² + 18m + 81 as a square. Which expression represents the side of this square?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Medium MathematicsIn a rectangle model, which option correctly writes (x^2-13x+40) as two sides?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Hard MathematicsA small square of side (q) is removed from a large square of side (p). Which is the factor form of the remaining area?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Medium MathematicsThe area model \(v^2+13v+36\) must be changed into a rectangle. Which sides are correct?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Medium MathematicsA tile model has area (x^2+9x+20). How can it be shown as sides of a rectangle?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Medium MathematicsIn an area model, \(x^2+9x+18\) can come from which product?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Easy MathematicsIn a visual model \(a^2-b^2\) is rearranged into two rectangles. Which factorisation does it show?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Easy MathematicsWhich of the following factorisation identities is correct for all real values?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Expert MathematicsWhich algebraic identity is used to factorise the difference of two cubes, \(a^3-b^3\)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Expert MathematicsWhich of the following expressions can be identified as a difference of two squares without expanding it?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Expert MathematicsWhich of the following expressions is a perfect-square trinomial and can be written as the square of a binomial?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Expert MathematicsWhich of the following expressions can be written as the product of a linear factor and a quadratic factor in the form \( (a-b)(a^2+ab+b^2) \)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Expert MathematicsWhich of the following expressions can be factorised as the difference of two perfect cubes?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Expert MathematicsWhat is the correct factorisation of (216p^3-125q^3)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Expert MathematicsWhich of the following polynomials is an example of the difference of squares identity, whose factors differ only in sign?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Expert MathematicsWhich of the following shows the correct perfect-square factorisation of \(p^2-2pq+q^2\)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Expert MathematicsWhich of the following expressions is a factor of the sum of two cubes?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Expert MathematicsChoose the correct factorisation of (27p^3-64q^3).Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Expert