Mathematics
Factorisation
Practice questions
What is the correct factorised form of (a^3-b^3)?Factorise (8m^3+27n^3).What is the factorised form of (125x^3-y^3)?Which is the correct factorised form of (x^2-2xy+y^2-z^2)?What will be the factors of (a^2+2ab+b^2-c^2)?In which form can (x^2-y^2+2x+1) be factorised?What is the correct factorised form of (4x^2+12x+9-y^2)?Choose the correct factorised form of (2ab+3a+4b+6).Factorise (3xy-6x+5y-10) by grouping.Which of the following trinomials is a perfect-square trinomial and will factorise into two identical binomials?Which of the following expressions can be factorised directly using the identity for the sum of cubes, \(a^3+b^3=(a+b)(a^2-ab+b^2)\)?Which of the following expressions is a perfect-square trinomial and can be written as a product of two identical binomials?Which of the following expressions can be factorised using only the identity for the difference of squares, \(a^2-b^2=(a-b)(a+b)\)?Which of the following expressions can be identified and factorised as a difference of two perfect squares, \(A^2-B^2\)?Which of the following is the correct factorised form of the difference of two cubes, \(a^3-b^3\)?After taking out the common factor, how can (216x^3-27y^3) be written first?When factorising the expression \(u^3-v^3\), which quadratic factor occurs along with the linear factor \(u-v\)?Which of the following expressions produces the quadratic factor \(p^2-pq+q^2\) when factorised?Which of the following polynomials can be factorised as the square of a binomial?What is obtained by factorising (x^2-4x-y^2+4)?