Expanding (brackets).

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Presentation transcript:

Expanding (brackets)

Rule: everything inside the brackets is multiplied by whatever is outside the brackets. Example: 3 x X = 3X 3 (X + 4) 3 x 4 = 12 = 3X + 12

5 (2X - 12) = 10X – 60 Note: care must be taken with the signs. Example 2: 5 x 2X = 10X 5 (2X - 12) 5 x -12 = -60 = 10X – 60 Note: care must be taken with the signs.

3X (2X + 4) = 6X2 + 12X Note: remember that X x X = X2. Example 3:

What about double brackets? The Rule still holds, but this time you will have 4 “mini” calculations to do, and maybe some tidying up as well. First 3X x 2X = 6X2 Last 6 x 4 = 24 (3X + 6) (2X + 4) Outside 3X x 4 = 12X Inside 6 x 2X = 12X 6X2 + 12X + 12X + 24 6X2 + 24X + 24 =

Your Turn!!! 2x(5 + x) 10x + 2x2 ½(10x + 5) 5x + 2.5 -8(3x – 2) 5x(4x + 2y) (2x + 2)(3x + 3) (-x + 4)(x – 7) (9 – 3x)(4 – 2x) (½x + ¾)(½x + 1) 3(2x + 1)(5x – 1) (x + 4)2 10x + 2x2 5x + 2.5 -24x + 16 20x2 + 10xy 6x2 + 12x + 6 -x2 + 11x – 28 36 – 30x + 6x2 ¼x2 + 7/8x + ¾ (6x+3)(5x-1) = 30x2 +9x - 3 (x+4)(x+4) =x2+4x+4x+16 =x2+8x+16