Mathematics
Factorisation
Practice questions
What is the complete factorised form of (3a^2-27b^2)?Which of the following expressions is a perfect-square trinomial and can therefore be written as the product of two identical binomial factors?How will (4x^2-12xy+9y^2) be factorised?A student claims that the factorisation of \(49a^2-64b^2\) is \((7a-8b)^2\). What is the error in the student's claim?Factorise (xy+2x+3y+6).Which is the factorised form of (64a^2+80ab+25b^2)?What is the correct factorised form of (4x^2+4x-15)?What is the complete factorised form of (3x^2-12)?What are the factors of (x^2-15x+56)?Factorise (4ab+8a+5b+10) by grouping.What is the factorisation of (ax+ay+bx+by) by grouping?What are the correct factors of (px-py+qx-qy)?What is the complete factorisation of (3a^2-12b^2)?Which structure must an expression have to be factorised using the identity for the difference of squares?Which of the following expressions can be classified as a difference of squares?Which of the following expressions is a perfect-square trinomial and can be factorised using the identity \((a-b)^2\)?Which of the following expressions is a perfect square and can be factorised as the product of two identical binomials?Which is the factorisation of (2x^2+11x+15)?Which of the following quadratic trinomials can be factorised as the product of two identical binomials?A student factorises \(49a^2-70ab+25b^2\) as \((7a-5b)(7a+5b)\). Which statement about the student’s solution is correct?