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Subjects

Mathematics

Factorisation

Practice questions

Which of the following expressions can be factorised using the identity \(a^2+2ab+b^2=(a+b)^2\)?Write (5x^2+16x+3) in factors.What is the factorised form of (6x^2+13x+6)?Which is the correct factorisation of (2a^2-a-15)?Which of the following expressions can be factorised over integers using the identity for the difference of two squares?What are the factors of (4x^2-12x+9)?What is the factorised form of \(x^2+14x+49\)?Under which condition will the quadratic expression \(x^2+bx+c\) be a perfect-square trinomial?What will be the factorised form of (7x+7y+2x+2y)?Factorise (3a+3b+xa+xb).Which of the following expressions is a difference of two perfect squares and can be factorised using the identity \(A^2-B^2=(A-B)(A+B)\)?Factorise (100a^2-b^2).Which of the following expressions is a perfect-square trinomial that can be factorised as the square of a binomial?Which of the following expressions is a perfect-square trinomial and can be factorised in the form \((a+b)^2\)?Which is the correct factorisation of (2x^2+9x+10)?Factorise \(4y^2+4y+1\).Which of the following expressions can be factorised using the identity for the difference of two squares, \((a^2-b^2)=(a-b)(a+b)\)?Which of the following expressions is a perfect-square trinomial and can therefore be written as the square of a binomial?Which of the following expressions is a perfect-square trinomial and can be factorised as the product of two identical binomials?What is the factorised form of (x^2-10x+21)?