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AGENDA Objectives Page Numbers Expand and factorise given expressions 56-59 Substitute values into formulae and solve for variables 92-93 Change the subject of a formula 105-107 Manipulating Formulae Expand Multiply every term inside the brackets by the term outside: 3(5+2) = × 5+ × = 15 + Expand Multiply both terms inside the first brackets by both terms inside the second brackets: ( + 4)( - 2) = -2 +4 -8 = +2-8 Expand Multiply both terms inside the first brackets by both terms inside the second brackets: ( + 3)( - 3) = +3 -3 -9 = -9 Expand Multiply both terms inside the first brackets by both terms inside the second brackets: ( - 6) = ( - 6)(x - 6) = -6 -6 +36 Textbook Activity Expand & Simplify Turn to page 62 Complete Q7-11 p62 Q7-11 a) x2 + 9x + 14 b) x2 + 3x - 40 c) x2 + 2x - 24 d) x2 - 16x + 63 No (x - 6)2 = x2 - 12x + 36 x2 - x2 - 49 x2 + 10x + 25 p62 Q7-11 2x2 - 9x - 18 6x2 + x - 40 12x2 - 41x + 24 4x2 - 49 (2x + 1)(3x - 2) = 6x2 - x -2 Factorise x2 - 4x - 45 Let’s think of the expression as ax2 + bx + c We must find numbers that: have product (x) = c have sum (+) = b