Maths: Expanding Brackets

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  • Created by: beaucaspa
  • Created on: 18-02-14 13:40
Expanding brackets: involves removing the brackets from an expression by multiplying out the brackets. This is achieved by multiplying every term inside the bracket by the term outside the bracket.
Example - Expanding a single pair of brackets a) Expand: 3(x+6). a) Remember to multiply every term inside the brackets by the term outside: 3(x+6)=3×x+3×6=3x+18. b) Expand: 6(4a−10). b) Remember to multiply every term inside the brackets by t
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Expanding double brackets: every term in the first pair of brackets must be multiplied by each term in the second
Example - Expanding double brackets Expand and simplify (a+b)(c+d). When multiplying out double brackets, each terms in the first bracket must be multiplied by each term in the second: (a+b)(c+d)=ac+ad+bc+bd.
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Expanding and Simplifying Brackets
Example - Expand and simplify 2(3x+4)+4(x−1). Multiply each bracket out first, then collect the like terms: 2(3x+4)+4(x−1)=6x+8+4x−4=10x+4
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Expanding and simplifying quadratic expressions
Example -a) Expand and simplify (x+4)(x+3). When multiplying x by another x you will end up with an x2 term: (x+4)(x+3)=x2+3x+4x+12=x2+7x+12
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go maths
hfuwhgig
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Other cards in this set

Card 2

Front

Example - Expanding double brackets Expand and simplify (a+b)(c+d). When multiplying out double brackets, each terms in the first bracket must be multiplied by each term in the second: (a+b)(c+d)=ac+ad+bc+bd.

Back

Expanding double brackets: every term in the first pair of brackets must be multiplied by each term in the second

Card 3

Front

Example - Expand and simplify 2(3x+4)+4(x−1). Multiply each bracket out first, then collect the like terms: 2(3x+4)+4(x−1)=6x+8+4x−4=10x+4

Back

Preview of the back of card 3

Card 4

Front

Example -a) Expand and simplify (x+4)(x+3). When multiplying x by another x you will end up with an x2 term: (x+4)(x+3)=x2+3x+4x+12=x2+7x+12

Back

Preview of the back of card 4

Card 5

Front

hfuwhgig

Back

Preview of the back of card 5

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