Mathematics
Factorisation
Practice questions
What is the factorised form of (a^2+4b^2+9c^2+4ab+12bc+6ac)?Which is the correct factorisation of (m^2+n^2+p^2-2mn-2np+2mp)?Choose the factorised form of (x^2+4x-45).Which is the correct factorisation of (3x^2-17x+10)?Which of the following expressions can be factorised most directly by suitable grouping of terms?Choose the correct factorisation of (7a^2-5ab-2b^2).If (x+y+z) is a factor of (x^3+y^3+z^3-3xyz), what is the other factor?Which of the following expressions can be factorised as the product of two identical binomials?How can (64x^3+125y^3+216z^3-180xyz) be written?Which of the following expressions can be identified as a difference of two perfect squares?Choose the complete factorised form of (2x^3+16).Which expression can be factorised using the identity for the difference of two squares?What is the complete factorised form of (x^4-10x^2+9)?Choose the factorised form of (9x^2+30xy+25y^2-49z^2).What is the factorised form of (ab(a-b)+bc(b-c)+ca(c-a))?A student claims that \(6x^2-x-2=(3x+2)(2x-1)\). Which is the correct factorisation of \(6x^2-x-2\) that corrects the student's error?Which of the following expressions is an example of the difference of squares identity?A student has factorised \(8p^3+q^3\) as \((2p+q)(4p^2-2pq+q^2)\). Which statement about the solution is correct?Which is the correct factorisation of (25x^2-20xy+4y^2-36)?In which of the following polynomials does grouping the first two and the last two terms produce the same binomial as a common factor?