Mr Daniels Maths
Factorising Mixed Brackets

Set 1

Set 2

Set 3

Q1) Factorise the following;
9y + 27 = [ 9(y + 3)]

Q1) Factorise \(x^2 + 5x + 6\). [ \((x + 2)(x + 3)\)]

Q1) Factorise \(x^2 -x -6\). [ \((x + 2)(x -3)\)]

Q2) Factorise the following;
7w + 56 = [ 7(w + 8)]

Q2) Factorise \(x^2 + 4x + 3\). [ \((x + 1)(x + 3)\)]

Q2) Factorise \(x^2 -x -42\). [ \((x + 6)(x -7)\)]

Q3) Factorise the following;
5w + 35 = [ 5(w + 7)]

Q3) Factorise \(x^2 + 11x + 18\). [ \((x + 2)(x + 9)\)]

Q3) Factorise \(x^2 + 2x -15\). [ \((x + 5)(x -3)\)]

Q4) Factorise the following;
10z + 10 = [ 10(z + 1)]

Q4) Factorise \(x^2 + 8x + 12\). [ \((x + 2)(x + 6)\)]

Q4) Factorise \(x^2 -4x -12\). [ \((x + 2)(x -6)\)]

Q5) Factorise the following;
10y + 50 = [ 10(y + 5)]

Q5) Factorise \(x^2 + 12x + 27\). [ \((x + 9)(x + 3)\)]

Q5) Factorise \(x^2 -x -20\). [ \((x + 4)(x -5)\)]

Q6) Factorise the following;
5y + 30 = [ 5(y + 6)]

Q6) Factorise \(x^2 + 18x + 81\). [ \((x + 9)(x + 9)\)]

Q6) Factorise \(x^2 -x -6\). [ \((x + 2)(x -3)\)]

Q7) Factorise the following;
9w + 72 = [ 9(w + 8)]

Q7) Factorise \(x^2 + 10x + 21\). [ \((x + 3)(x + 7)\)]

Q7) Factorise \(x^2 -2x -15\). [ \((x + 3)(x -5)\)]

Q8) Factorise the following;
10x + 90 = [ 10(x + 9)]

Q8) Factorise \(x^2 + 8x + 15\). [ \((x + 3)(x + 5)\)]

Q8) Factorise \(x^2 + 2x -35\). [ \((x + 7)(x -5)\)]

Q9) Factorise the following;
9y + 36 = [ 9(y + 4)]

Q9) Factorise \(x^2 + 13x + 36\). [ \((x + 4)(x + 9)\)]

Q9) Factorise \(x^2 -x -6\). [ \((x + 2)(x -3)\)]

Q10) Factorise the following;
8z + 72 = [ 8(z + 9)]

Q10) Factorise \(x^2 + 11x + 10\). [ \((x + 1)(x + 10)\)]

Q10) Factorise \(x^2 + x -12\). [ \((x + 4)(x -3)\)]