Factorisation of Algebraic Expressions Using Identities

Transcript

Factorisation of Algebraic Expressions Using Identities Factorisation means Here, we factorise using the identity 〖(𝑎+𝑏)〗^2 = 𝑎^2 + 𝑏^2 + 2ab Factorise 4𝒙^𝟐 + 12𝒙 + 9 4𝑥^2 + 12𝑥 + 9 = 〖4𝑥〗^2 + 9 + 12𝑥 = 〖(𝟐𝒙)〗^𝟐 + 𝟑^𝟐 + 2 × 2𝒙 × 3 = ("2" 𝒙" + 3" )^𝟐 Factorise 𝒙^𝟐 + 6𝒙 + 9 𝑥^2 + 6𝑥 + 9 = 𝑥^2 + 9 + 6𝑥 = 𝒙^𝟐 + (𝟑)^𝟐 + 2 × 𝒙 × 3 Using (𝑎+𝑏)^2 = 𝑎^2 + 𝑏^2 + 2ab Where 𝑎 = 2𝑥, b = 3 Using (𝑎+𝑏)^2 = 𝑎^2 + 𝑏^2 + 2ab Where 𝑎 = 𝑥, b = 3 = (𝒙+𝟑)^𝟐 Now, let’s do some questions