Mathematics
Factorisation
Practice questions
Which of the following expressions can be factorised directly using the identity for the difference of squares?Choose the correct factorisation of (p^2-q^2-5p+5q).What is obtained by factorising (x^2-9+4x+12)?Which of the following quadratic expressions cannot be written as a product of two linear factors with integer coefficients?Which of the following quadratic polynomials can be written as a product of two linear factors with integer coefficients?Which of the following expressions is a perfect-square trinomial and can therefore be factorised as the square of a binomial?What will be the complete factorised form of (12x^2-20xy+8y^2)?Factorise (x^2+5x+6-y^2-5y).In which of the following expressions does suitable grouping of terms produce a common binomial factor?What is the factorised and simplified form of ((x+y)^2-(x-y)^2)?Which of the following trinomials is a perfect square and can be factorised as the square of a binomial?Choose the factorised form of ((3a-2b)^2-(a+b)^2).What is the factorised form of (x^2+4y^2+4xy-9z^2)?Factorise (16a^2-24ab+9b^2-25c^2).What is the factorised form of (x^2+2xy+y^2-4z^2+4x+4y)?Which of the following trinomials is a perfect-square trinomial and can be written as the product of two identical binomials?Factorise (3a^2-5ab-2b^2).Which of the following expressions can be identified and factorised as a difference of two perfect squares?Choose the factorised form of (4x^2+4xy+y^2-6x-3y).What is the factorised form of (x^2-2xy+y^2-4x+4y)?