Mr Daniels Maths
Factorising Mixed Brackets

Set 1

Set 2

Set 3

Q1) Factorise the following;
7y + 49 = [ 7(y + 7)]

Q1) Factorise \(x^2 + 10x + 21\). [ \((x + 7)(x + 3)\)]

Q1) Factorise \(x^2 + 7x -18\). [ \((x + 9)(x -2)\)]

Q2) Factorise the following;
2x + 4 = [ 2(x + 2)]

Q2) Factorise \(x^2 + 10x + 25\). [ \((x + 5)(x + 5)\)]

Q2) Factorise \(x^2 -6x -16\). [ \((x + 2)(x -8)\)]

Q3) Factorise the following;
5x + 25 = [ 5(x + 5)]

Q3) Factorise \(x^2 + 19x + 90\). [ \((x + 10)(x + 9)\)]

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

Q4) Factorise the following;
3z + 30 = [ 3(z + 10)]

Q4) Factorise \(x^2 + 6x + 8\). [ \((x + 2)(x + 4)\)]

Q4) Factorise \(x^2 -x -12\). [ \((x + 3)(x -4)\)]

Q5) Factorise the following;
10y + 60 = [ 10(y + 6)]

Q5) Factorise \(x^2 + 14x + 48\). [ \((x + 8)(x + 6)\)]

Q5) Factorise \(x^2 + 3x -10\). [ \((x + 5)(x -2)\)]

Q6) Factorise the following;
3w + 12 = [ 3(w + 4)]

Q6) Factorise \(x^2 + 9x + 20\). [ \((x + 5)(x + 4)\)]

Q6) Factorise \(x^2 -6x -27\). [ \((x + 3)(x -9)\)]

Q7) Factorise the following;
10y + 30 = [ 10(y + 3)]

Q7) Factorise \(x^2 + 9x + 14\). [ \((x + 2)(x + 7)\)]

Q7) Factorise \(x^2 -x -20\). [ \((x + 4)(x -5)\)]

Q8) Factorise the following;
8x + 56 = [ 8(x + 7)]

Q8) Factorise \(x^2 + 10x + 16\). [ \((x + 2)(x + 8)\)]

Q8) Factorise \(x^2 + 3x -18\). [ \((x + 6)(x -3)\)]

Q9) Factorise the following;
8w + 64 = [ 8(w + 8)]

Q9) Factorise \(x^2 + 11x + 28\). [ \((x + 4)(x + 7)\)]

Q9) Factorise \(x^2 -4x -21\). [ \((x + 3)(x -7)\)]

Q10) Factorise the following;
8y + 48 = [ 8(y + 6)]

Q10) Factorise \(x^2 + 8x + 12\). [ \((x + 2)(x + 6)\)]

Q10) Factorise \(x^2 + 2x -15\). [ \((x + 5)(x -3)\)]