Mathematics
Factorisation
Practice questions
What is the complete factorisation of (12x^2-27y^2)?Which of the following trinomials can be factorised as a perfect square of a binomial?What will be the complete factorisation of (x^4-81)?Choose the correct factorisation of (x^2-2xy+y^2-25).The area of a square courtyard is \(49a^2-84ab+36b^2\) square units. If \(7a>6b\), what will be the length of its side?Which of the following trinomials is a perfect-square expression?Choose the factorisation of (6x^2-x-12).Which of the following expressions cannot be factorised using the identity for the difference of two squares?What is the complete factorisation of (x^3+3x^2+2x)?Which of the following expressions is the square of the binomial \(3p-4q\)?What is the complete factorisation of (x^3-9x)?Which of the following expressions can be factorised using the identity \((A^2-B^2)=(A-B)(A+B)\) without regrouping its terms?Which of the following expressions is a perfect square of a binomial based on the identity \(a^2-2ab+b^2=(a-b)^2\)?Which of the following expressions is a perfect cube of a binomial and can therefore be factorised using a cube identity?Which is the factorisation of (ab-ac+db-dc)?The area of a rectangular garden is \(6x^2+19x+10\) square units. Which of the following pairs can represent its possible length and breadth?Which of the following expressions can be factorised directly using the identity for the difference of squares, \(a^2-b^2=(a-b)(a+b)\)?Which of the following expressions can be factorised as a product of conjugate binomials?Which of the following expressions has \(x-2y\) as a factor in its complete factorisation?Which of the following quadratic expressions cannot be factorised into two linear factors with integer coefficients?