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Class 9 Mathematics

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 expressions can be written as the square of a difference of two terms?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhat is the simplified form of ( (3x+5)^2-(3x-1)^2 )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhat is the simplified form of \( (2x+3)^2-(2x+1)^2 \)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhat is the simplified form of \( (x-1)(x+1)(x^2+1) \)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsA student claims that if \(a+b+c=12\) and \(ab+bc+ca=35\), then \(a^2+b^2+c^2=74\). Which option about the student’s claim is correct?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhat value is obtained by simplifying ( 51^2+49^2 ) using identity?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhich of the following trinomials can be written as the perfect square of a binomial?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhat is the simplified form of ( (x+5)(x-3)+(x-5)(x+3) )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhat is the simplified form of \( (2x+3y)^2+(2x-3y)^2-(8x^2) \)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhat is the simplified form of \( (x+a)(x-a)(x^2+a^2) \)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard Mathematics\( 25m^2-70mn+49n^2 \) is the square of what?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhat is the perfect square form of ( 64x^2+80x+25 )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhich of the following statements shows the correct use of the identity for the difference of squares?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhich of the following trinomials is equivalent to the expansion of \((2x+3y)^2\) and is therefore a perfect-square trinomial?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhat is the simplified form of \( (x+2y)^2-(x^2+4y^2) \)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhat will be the coefficient of \(x^2\) in ( (x-2)(x+3)(x+5) )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsFor real numbers \(p\) and \(q\), which of the following expressions can never be negative?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhich of the following pairs of binomials is a pair of conjugates whose product is obtained using the difference of squares identity?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhich of the following polynomials is always non-negative for every real value of \(x\)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsWhat is the simplified form of \( (3a+2b)^2-(3a-2b)^2 \)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard