Quadratic Expansions

Olivia McKenzie
Mind Map by , created over 5 years ago

NCEA L2/3 Calculus and Chemistry (Algebra) Mind Map on Quadratic Expansions, created by Olivia McKenzie on 07/07/2014.

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Olivia McKenzie
Created by Olivia McKenzie over 5 years ago
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Quadratic Expansions
1 Two brackets
1.1 (x+2)(x-5)= x2-5x+2x-10
1.1.1 = x2-3x-10
1.2 (x+7)(x+2)
1.2.1 = x2+2x+7x+14
1.2.1.1 = x2+9x+14
2 Three Brackets
2.1 (x+1)(x+2)(x-3)=(x+1)[(x2-x-6)]
2.1.1 = x3-x2-6x+x2-x-6
2.1.1.1 = x3-7x-6
2.2 (x+2)(x+5)(x+3)
2.2.1 = (x+2)[(x2+8x+15)
2.2.1.1 = x3+8x2+15x+2x2+16x+30
2.2.1.1.1 = x3+10x2+31x+30
3 Perfect Squares
3.1 (x+4)2
3.1.1 = (x+4)(x+4)
3.1.1.1 = x2+8x+16
3.2 (x+2)2
3.2.1 = (x+2)(x+2)
3.2.1.1 x2+4x+4
4 Difference between two squares
4.1 (x+5)(x-5)
4.1.1 = x2+5x-5x-25
4.1.1.1 = x2-25
4.2 (x+3)(x-3)
4.2.1 = x2+3x-3x-9
4.2.1.1 = x2-9

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