USE OF BRACKETS Flashcards
WHAT ARE BRACKETS USED FOR?
SPECIFY THE ORDER IN WHICH OPERATIONS MUST TAKE PLACE.
WHAT IS IT CALLED WHEN WE REMOVE BRACKETS?
EXPANDING
HOW DO WE EXPAND OUT OF BRACKETS?
WHEN EACH TERM IS MULTIPLIED BY THE QUANTITY OUTSIDE THE BRACKET
REMOVING BRACKETS / EXPANDING
MULTIPLY EACH TERM BY THE QUANTITY OUTSIDE THE BRACKET
NEGATIVE BEFORE THE BRACKET
CHANGE THE SIGN OF EACH TERM IN THE BRACKET.
SIMPLIFYING
FIRST REMOVE THE BRACKETS AND THEN ADD LIKE TERMS TOGETHER.
FACTORISATION
WHAT IS FACTORISATION?
FACTORISATION OF AN ALGEBRAIC EXPRESSION IS THE PROCESS OF IDENTIFYING COMMON FACTORS IN EACH TERM OF THE EXPRESSION - THEN WRITING THE EXPRESSION AS A PRODUCT OF THESE FACTORS.
FACTORISATION
WHAT ARE THE STEPS TO FACTORISE ALGEBRAIC EXPRESSIONS?
- FIND THE HCF OF ALL TERMS IN THE EXPRESSION
- THE HCF APPEARS OUTSIDE THE BRACKET
- TO FIND TERMS INSIDE THE BRACKET DIVIDE EACH TERM MAKING UP THE EXPRESSION BY THE HCF
FACTORISING BY GROUPING
HOW DO YOU FACTORISE AN EXPRESSION?
- GROUP THE TERMS IN PAIRS SO EACH PAIR HAS A COMMON FACTOR
PAIRS OF BRACKETS
WHAT DOES IT MEAN WHEN TWO BRACKETS ARE NEXT TO EACH OTHER?
THE BRACKETS NEED TO BE MULTIPLIED TOGETHER.
(y + 2)(y+3) MEANS (y + 2) x (y+3)
PAIRS OF BRACKETS
HOW DO YOU EXPAND DOUBLE BRACKETS?
EVERY TERM IN THE FIRST BRACKET HAS TO BE MULTIPLIED BY EVERY TERM IN THE SECOND BRACKET.
PAIRS OF BRACKETS
WHAT IS THE ORDER OF MULTIPLYING PAIRS OF BRACKETS?
FOIL
FIRST OUTSIDE INSIDE LAST
PAIRS OF BRACKETS
MULTIPLY THE TERMS IN THE BRACKETS
(x + 2) (x - 8)
- = x² - 8x + 2x - 16
- = x² - 6x - 16
PAIRS OF BRACKETS
WHAT HAPPENS IF ONE OF THE BRACKETS CONTAINTS MORE THAN TWO TERMS?
WE CANNOT USE FOIL.
WE HAVE TO TAKE EACH TERM IN THE FIRST BRACKET AND MULTIPLY THE SECOND TERM BY IT.
