Mr Daniels Maths
Expanding Double Brackets Grid Method

Set 1

Set 2

Set 3

Q1) Expand and simplify
\((z + 1)(z + 4)\equiv\) [ \(z^2 + 5z + 4\)]

Q1) Expand and simplify
\((w -4)(w + 2)\equiv\) [ \(w^2 -2w -8\)]

Q1) Expand and simplify
\((5x + 5)(7x + 2)\equiv\) [ \(35 x^2 + 45x + 10 \)]

Q2) Expand and simplify
\((x + 4)(x + 4)\equiv\) [ \(x^2 + 8x + 16\)]

Q2) Expand and simplify
\((w + 1)(w + 5)\equiv\) [ \(w^2 + 6w + 5\)]

Q2) Expand and simplify
\((5x + 4)(3x -4)\equiv\) [ \(15 x^2 -8x -16 \)]

Q3) Expand and simplify
\((z + 5)(z + 3)\equiv\) [ \(z^2 + 8z + 15\)]

Q3) Expand and simplify
\((y + 1)(y -1)\equiv\) [ \(y^2 + -1\)]

Q3) Expand and simplify
\((6x + 6)(3x -2)\equiv\) [ \(18 x^2 + 6x -12 \)]

Q4) Expand and simplify
\((w + 3)(w + 1)\equiv\) [ \(w^2 + 4w + 3\)]

Q4) Expand and simplify
\((y + 3)(y -3)\equiv\) [ \(y^2 + -9\)]

Q4) Expand and simplify
\((7x + 5)(4x + 4)\equiv\) [ \(28 x^2 + 48x + 20 \)]

Q5) Expand and simplify
\((w + 4)(w + 5)\equiv\) [ \(w^2 + 9w + 20\)]

Q5) Expand and simplify
\((w + 2)(w + 2)\equiv\) [ \(w^2 + 4w + 4\)]

Q5) Expand and simplify
\((4x + 4)(9x + 3)\equiv\) [ \(36 x^2 + 48x + 12 \)]

Q6) Expand and simplify
\((y + 5)(y + 1)\equiv\) [ \(y^2 + 6y + 5\)]

Q6) Expand and simplify
\((z + 4)(z -5)\equiv\) [ \(z^2 -z -20\)]

Q6) Expand and simplify
\((5x + 6)(9x + 2)\equiv\) [ \(45 x^2 + 64x + 12 \)]

Q7) Expand and simplify
\((w + 1)(w + 5)\equiv\) [ \(w^2 + 6w + 5\)]

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

Q7) Expand and simplify
\((6x + 5)(10x + 2)\equiv\) [ \(60 x^2 + 62x + 10 \)]

Q8) Expand and simplify
\((y + 1)(y + 5)\equiv\) [ \(y^2 + 6y + 5\)]

Q8) Expand and simplify
\((x -1)(x + 8)\equiv\) [ \(x^2 + 7x -8\)]

Q8) Expand and simplify
\((9x + 4)(9x -6)\equiv\) [ \(81x^2 -18x -24 \)]

Q9) Expand and simplify
\((x + 2)(x + 3)\equiv\) [ \(x^2 + 5x + 6\)]

Q9) Expand and simplify
\((x + 7)(x -6)\equiv\) [ \(x^2 + x -42\)]

Q9) Expand and simplify
\((5x + 6)(8x + 2)\equiv\) [ \(40 x^2 + 58x + 12 \)]

Q10) Expand and simplify
\((w + 3)(w + 2)\equiv\) [ \(w^2 + 5w + 6\)]

Q10) Expand and simplify
\((w + 8)(w -3)\equiv\) [ \(w^2 + 5w -24\)]

Q10) Expand and simplify
\((2x + 3)(2x + 2)\equiv\) [ \(4 x^2 + 10x + 6 \)]