Higher Expanding and Factorising – Diagnostic Test Ready to test your knowledge? Expand \[(x+5)(x-3)\] \[x^2+8x+15\] \[x^2+2x-15\] \[x^2-15\] \[x^2+2x+15\] Hint Fully factorise \[x^2 - 11x + 18\] \[(x+9)(x+2)\] \[(x-3)(x+6)\] \[(x+9)(x-2)\] \[(x-9)(x-2)\] Hint Expand and simplify \[(3x - 5)^2\] \[9x^2-25\] \[9x^2+25\] \[9x^2-30x+25\] \[9x^2-30x-25\] Hint Simplify \[7(2x-3)-2(3x-1)\] \[8x-19\] \[20x+23\] \[8x-25\] \[20x-25\] Hint Fully factorise \[x^2 - 5x - 14\] \[(x-2)(x+7)\] \[(x-7)(x+2)\] \[(x-9)(x+6)\] \[(x-6)(x+9)\] Hint Fully factorise \[x^2 - 9\] \[x(x-9)\] \[(x-3)^2\] \[(x+3)(x-3)\] \[(x+3)^2\] Hint Fully factorise \[2x^2 + 9x- 18\] \[(x+3)(x+6)\] \[(2x+3)(x+6)\] \[(2x-3)(x+6)\] \[(x+3)(x-6)\] Hint Factorise \[25x^2-49\] \[(5x+7)^2\] \[(5x-7)^2\] \[x(25x-49)\] \[(5x-7)(5x+7)\] Hint Fully factorise \[15x^2+29x-14\] \[(5x+7)(3x-2)\] \[(5x-7)(3x+2)\] \[(5x-2)(3x+7)\] \[(5x+2)(3x-7)\] Hint Fully factorise \[9x^2-24x+16\] \[(3x-4)^2\] \[(3x+4)^2\] \[(9x-4)(x+4)\] \[(9x+4)(x-4)\] Hint Fully factorise \[16x^2 - 64\] \[(4x-8)(4x+8)\] \[4(x-2)(x+2)\] \[16(x-2)(x+2)\] \[16(x-8)(x+8)\] Hint Expand \[(x-4)(2x+5)(x+3)\] \[2x^3+9x^2+29x+60\] \[2x^3+9x^2-11x-60\] \[2x^3+3x^2-29x-60\] \[2x^3+3x^2+29x-60\] Hint Expand \[(x+7)(3x-2)^2\] \[9x^3+40x^2+119x+28\] \[9x^3+63x^2+4x+28\] \[9x^3+75x^2-88x+28\] \[9x^3+51x^2-80x+28\] Hint Write \[x^2-3x+2\] in the form \[(x+a)^2+b\] \[(x-\frac{3}{2})^2+\frac{17}{4}\] \[(x-\frac{3}{2})^2+\frac{1}{4}\] \[(x-\frac{3}{2})^2-\frac{17}{4}\] \[(x-\frac{3}{2})^2-\frac{1}{4}\] Hint Write \[4x^2 - 24x - 5\] in the form \[p(x + q)^2 + r\] \[4(x -3)^2 -41\] \[4(x -3)^2 +41\] \[4(x -3)^2 -31\] \[4(x -3)^2 +31\] Hint Time's up More?
