Mr Daniels Maths
Expanding Single, Double and Triple Brackets

Set 1

Set 2

Set 3

Q1) 3(w + 3) = [ 3w + 9]

Q1) Expand and simplify
\((y + 1)(y + 3)\)= [ \(y^2 + 4y + 3\)]

Q1) Expand and simplify
\((x + 1)(x + 3)(x -4)\)= [ \(x^3 -13x-12\)]

Q2) 5(x + 4) = [ 5x + 20]

Q2) Expand and simplify
\((7x + 4)(4x + 2)\)= [ \(28 x^2 + 30x + 8 \)]

Q2) Expand and simplify
\((x + 1)(x + 5)(x -4)\)= [ \(x^3 + 2x^2 -19x-20\)]

Q3) 4(z + 3) = [ 4z + 12]

Q3) Expand and simplify
\((7x + 3)(10x -2)\)= [ \(70 x^2 + 16x -6 \)]

Q3) Expand and simplify
\((x + 4)(x + 4)(x + 4)\)= [ \(x^3 + 12x^2 + 48x+64\)]

Q4) 2(x + 4) = [ 2x + 8]

Q4) Expand and simplify
\((z + 5)(z + 4)\)= [ \(z^2 + 9z + 20\)]

Q4) Expand and simplify
\((x + 5)(x + 6)(x -3)\)= [ \(x^3 + 8x^2 -3x-90\)]

Q5) Expand and simplify
2(4x + 4) +10x + 4 = [ 18x + 12]

Q5) Expand and simplify
\((z + 3)(z + 5)\)= [ \(z^2 + 8z + 15\)]

Q5) Expand and simplify
\((x + 2)(x + 2)(x -5)\)= [ \(x^3 -x^2 -16x-20\)]

Q6) Expand and simplify
3(5w + 7) -9w -8 = [ 6w + 13]

Q6) Expand and simplify
\((z + 2)(z + 1)\)= [ \(z^2 + 3z + 2\)]

Q6) Expand and simplify
\((x + 4)(x + 4)(x + 5)\)= [ \(x^3 + 13x^2 + 56x+80\)]

Q7) Expand and simplify
3(4w + 10) +5w + 8 = [ 17w + 38]

Q7) Expand and simplify
\((9x + 4)(9x -2)\)= [ \(81x^2 + 18x -8 \)]

Q7) Expand and simplify
\((x + 6)(x + 1)(x -5)\)= [ \(x^3 + 2x^2 -29x-30\)]