Mr Daniels Maths
Expanding Double Brackets Grid Method

Set 1

Set 2

Set 3

Q1) Expand and simplify
\((z + 1)(z + 3)\equiv\) [ \(z^2 + 4z + 3\)]

Q1) Expand and simplify
\((w -4)(w + 1)\equiv\) [ \(w^2 -3w -4\)]

Q1) Expand and simplify
\((4x + 5)(9x + 3)\equiv\) [ \(36 x^2 + 57x + 15 \)]

Q2) Expand and simplify
\((y + 1)(y + 4)\equiv\) [ \(y^2 + 5y + 4\)]

Q2) Expand and simplify
\((x + 4)(x -3)\equiv\) [ \(x^2 + x -12\)]

Q2) Expand and simplify
\((5x + 5)(7x -2)\equiv\) [ \(35 x^2 + 25x -10 \)]

Q3) Expand and simplify
\((y + 5)(y + 5)\equiv\) [ \(y^2 + 10y + 25\)]

Q3) Expand and simplify
\((x + 5)(x + 4)\equiv\) [ \(x^2 + 9x + 20\)]

Q3) Expand and simplify
\((4x + 6)(3x + 4)\equiv\) [ \(12 x^2 + 34x + 24 \)]

Q4) Expand and simplify
\((x + 4)(x + 4)\equiv\) [ \(x^2 + 8x + 16\)]

Q4) Expand and simplify
\((x -3)(x -4)\equiv\) [ \(x^2 -7x + 12\)]

Q4) Expand and simplify
\((4x + 5)(10x + 4)\equiv\) [ \(40 x^2 + 66x + 20 \)]

Q5) Expand and simplify
\((z + 5)(z + 5)\equiv\) [ \(z^2 + 10z + 25\)]

Q5) Expand and simplify
\((z + 2)(z + 5)\equiv\) [ \(z^2 + 7z + 10\)]

Q5) Expand and simplify
\((7x + 5)(4x + 2)\equiv\) [ \(28 x^2 + 34x + 10 \)]

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

Q6) Expand and simplify
\((w + 2)(w + 4)\equiv\) [ \(w^2 + 6w + 8\)]

Q6) Expand and simplify
\((7x + 6)(5x -2)\equiv\) [ \(35 x^2 + 16x -12 \)]

Q7) Expand and simplify
\((x + 4)(x + 2)\equiv\) [ \(x^2 + 6x + 8\)]

Q7) Expand and simplify
\((y -1)(y + 4)\equiv\) [ \(y^2 + 3y -4\)]

Q7) Expand and simplify
\((7x + 5)(10x + 4)\equiv\) [ \(70 x^2 + 78x + 20 \)]

Q8) Expand and simplify
\((y + 3)(y + 2)\equiv\) [ \(y^2 + 5y + 6\)]

Q8) Expand and simplify
\((y -5)(y -5)\equiv\) [ \(y^2 -10y + 25\)]

Q8) Expand and simplify
\((6x + 6)(7x -2)\equiv\) [ \(42 x^2 + 30x -12 \)]

Q9) Expand and simplify
\((w + 3)(w + 5)\equiv\) [ \(w^2 + 8w + 15\)]

Q9) Expand and simplify
\((w -3)(w -1)\equiv\) [ \(w^2 -4w + 3\)]

Q9) Expand and simplify
\((5x + 6)(10x + 2)\equiv\) [ \(50 x^2 + 70x + 12 \)]

Q10) Expand and simplify
\((x + 2)(x + 4)\equiv\) [ \(x^2 + 6x + 8\)]

Q10) Expand and simplify
\((w -5)(w -1)\equiv\) [ \(w^2 -6w + 5\)]

Q10) Expand and simplify
\((7x + 6)(6x -5)\equiv\) [ \(42 x^2 + x -30 \)]