Mathematics
Factorisation
Practice questions
Which of the following expressions can be factorised directly using the identity of difference of squares, \(a^2-b^2=(a-b)(a+b)\)?Which of the following trinomials cannot be factorised into a product of two linear binomials with integer coefficients?What is the complete factorised form of (8p^2-2q^2)?Factorise (12x^2y-27y^3) completely.Which is the correct factorised form of (x^4-81)?Which of the following polynomials has \(2x+3y\) as one of its factors?What will be the factorised form of (x^2+2xy+y^2-4x-4y)?Factorise (m^2+4mn+4n^2-25).Which of the following quadratic trinomials cannot be expressed as a product of two linear factors with integer coefficients?Choose the factorised form of (5y^2-19y+12).Which of the following trinomials can be factorised as the product of two identical binomials, that is, as a perfect square?Which of the following polynomials gives the same binomial factor in both groups when its terms are grouped in pairs?Which of the following trinomials is a perfect-square trinomial and can therefore be factorised as the square of the same binomial?What is the factorised form of (x^2-3x-xy+3y)?What is the complete factorised form of (x^3+3x^2+2x)?Factorise (2x^3+7x^2+3x) completely.What is the complete factorised form of (4a^3-9ab^2)?What condition between \(p\) and \(q\) is necessary and sufficient for the polynomial \(x^2+px+q\) to be expressible as the square of a binomial with real coefficients?Which is the correct factorisation of ((a+b)^2-4c^2)?Factorise (x^2-4y^2+2x+4y).