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Algebraic Identities

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

MathematicsReena says that expanding \((x+4)(x-4)\) gives \(x^2+16\). Which expression correctly identifies and fixes her error?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsWhich feature of the quadratic expression \(x^2+10x+25\) shows that it can be written as \((x+5)^2\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsRiya expanded \( (x+4)^2 \) as \(x^2+16\). Which term is missing from her expansion?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsA student writes \((3x+2)^2\) as \(9x^2+4\). Which is the correct quadratic expression after correcting the error?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsWhich of the following quadratic expressions can be factorised directly using the identity \(a^2-b^2=(a-b)(a+b)\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsIf a, b and c are constants, which condition is necessary for the expression \(ax^2+bx+c\) to be a quadratic expression in x?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsWhich condition is essential for an expression in the standard form \(ax^2+bx+c\) to be quadratic?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsSuppose \(a, b, c\) are constants. Which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsIf a quadratic expression has coefficient 5 for x, coefficient -2 for x², and constant term 7, which is its standard form?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsWhich of the following quadratic expressions can be written as the product of the sum and difference of two monomials?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsWhich of the following is a quadratic expression in the variable \(y\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsFor an expression in the general form \(ax^2+bx+c\) to be quadratic in \(x\), which condition is necessary?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsWhat is the correct expansion of \((x-5)^2\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsWhich of the following quadratic expressions is identified as the product of two conjugate binomials?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsWhere \(a, b\), and \(c\) are constants, which condition is necessary for the expression \(ax^2+bx+c\) to be a quadratic expression?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsWhich condition is necessary for an expression in one variable to be a quadratic expression?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsWhich condition is necessary for the expression \(ax^2+bx+c\) to be called a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsWhich of the following trinomials can be expressed as the square of a binomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich of the following quadratic expressions can be written as a difference of two squares?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhat is the expansion of ((3x-1)(x+4))?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium