Mr Daniels Maths
Factorising Double Brackets Grid

Set 1

Set 2

Set 3

Q1) Expand and simplify
\((y + 4)(y + 4)\equiv\) [ \(y^2 + 8y + 16\)]

Q1) Factorise \(x^2 + 5x + 4\). [ \((x + 1)(x + 4)\)]

Q1) Factorise \(x^2 -2x -8\). [ \((x + 2)(x -4)\)]

Q2) Expand and simplify
\((y + 5)(y + 4)\equiv\) [ \(y^2 + 9y + 20\)]

Q2) Factorise \(x^2 + 5x + 6\). [ \((x + 3)(x + 2)\)]

Q2) Factorise \(x^2 + 2x -8\). [ \((x + 4)(x -2)\)]

Q3) Expand and simplify
\((w + 1)(w + 5)\equiv\) [ \(w^2 + 6w + 5\)]

Q3) Factorise \(x^2 + 8x + 15\). [ \((x + 5)(x + 3)\)]

Q3) Factorise \(x^2 -x -20\). [ \((x + 4)(x -5)\)]

Q4) Expand and simplify
\((z + 5)(z + 3)\equiv\) [ \(z^2 + 8z + 15\)]

Q4) Factorise \(x^2 + 3x + 2\). [ \((x + 2)(x + 1)\)]

Q4) Factorise \(x^2 -x -6\). [ \((x + 2)(x -3)\)]

Q5) Expand and simplify
\((y + 5)(y + 1)\equiv\) [ \(y^2 + 6y + 5\)]

Q5) Factorise \(x^2 + 4x + 3\). [ \((x + 1)(x + 3)\)]

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

Q6) Expand and simplify
\((w + 5)(w + 3)\equiv\) [ \(w^2 + 8w + 15\)]

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

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

Q7) Expand and simplify
\((z + 1)(z + 2)\equiv\) [ \(z^2 + 3z + 2\)]

Q7) Factorise \(x^2 + 2x + 1\). [ \((x + 1)(x + 1)\)]

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

Q8) Expand and simplify
\((y + 2)(y + 5)\equiv\) [ \(y^2 + 7y + 10\)]

Q8) Factorise \(x^2 + 8x + 16\). [ \((x + 4)(x + 4)\)]

Q8) Factorise \(x^2 -3x -10\). [ \((x + 2)(x -5)\)]

Q9) Expand and simplify
\((z + 5)(z + 4)\equiv\) [ \(z^2 + 9z + 20\)]

Q9) Factorise \(x^2 + 9x + 20\). [ \((x + 5)(x + 4)\)]

Q9) Factorise \(x^2 -x -12\). [ \((x + 3)(x -4)\)]

Q10) Expand and simplify
\((w + 3)(w + 1)\equiv\) [ \(w^2 + 4w + 3\)]

Q10) Factorise \(x^2 + 10x + 25\). [ \((x + 5)(x + 5)\)]

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