Mr Daniels Maths
Difference of two squares

Set 1

Set 2

Set 3

Q1) Expand \((x+8)(x-8)\) = [ \(x^2 - 64\)]

Q1) Factorise \(x^2 - 49\)= [ \((x+7)(x-7)\)]

Q1) Factorise \(36x^2-100\)= [ \((6x + 10)(6x - 10)\)]

Q2) Expand \((x+1)(x-1)\) = [ \(x^2 - 1\)]

Q2) Factorise \(x^2 - 144\)= [ \((x+12)(x-12)\)]

Q2) Factorise \(81x^2-4\)= [ \((9x + 2)(9x - 2)\)]

Q3) Expand \((x+10)(x-10)\) = [ \(x^2 - 100\)]

Q3) Factorise \(x^2 - 169\)= [ \((x+13)(x-13)\)]

Q3) Factorise \(81x^2-81\)= [ \((9x + 9)(9x - 9)\)]

Q4) Expand \((x+4)(x-4)\) = [ \(x^2 - 16\)]

Q4) Factorise \(x^2 - 324\)= [ \((x+18)(x-18)\)]

Q4) Factorise \(49x^2-4\)= [ \((7x + 2)(7x - 2)\)]

Q5) Expand \((x+2)(x-2)\) = [ \(x^2 - 4\)]

Q5) Factorise \(x^2 - 64\)= [ \((x+8)(x-8)\)]

Q5) Factorise \(9x^2-64\)= [ \((3x + 8)(3x - 8)\)]

Q6) Expand \((x+6)(x-6)\) = [ \(x^2 - 36\)]

Q6) Factorise \(x^2 - 121\)= [ \((x+11)(x-11)\)]

Q6) Factorise \(9x^2-16\)= [ \((3x + 4)(3x - 4)\)]

Q7) Expand \((x+9)(x-9)\) = [ \(x^2 - 81\)]

Q7) Factorise \(x^2 - 196\)= [ \((x+14)(x-14)\)]

Q7) Factorise \(16x^2-100\)= [ \((4x + 10)(4x - 10)\)]

Q8) Expand \((x+3)(x-3)\) = [ \(x^2 - 9\)]

Q8) Factorise \(x^2 - 100\)= [ \((x+10)(x-10)\)]

Q8) Factorise \(49x^2-49\)= [ \((7x + 7)(7x - 7)\)]

Q9) Expand \((x+5)(x-5)\) = [ \(x^2 - 25\)]

Q9) Factorise \(x^2 - 25\)= [ \((x+5)(x-5)\)]

Q9) Factorise \(49x^2-81\)= [ \((7x + 9)(7x - 9)\)]

Q10) Expand \((x+7)(x-7)\) = [ \(x^2 - 49\)]

Q10) Factorise \(x^2 - 256\)= [ \((x+16)(x-16)\)]

Q10) Factorise \(64x^2-100\)= [ \((8x + 10)(8x - 10)\)]