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Ex 14.3, 3 (iv) - Work out the division 9x2y2(3z - 24) Γ· 27xy(z - 8)

Ex 14.3, 3 (iv) - Chapter 14 Class 8 Factorisation - Part 2

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Ex 12.3, 3 Work out the following divisions. (iv) 9π‘₯^2 𝑦^2(3z – 24) Γ· 27xy(z – 8) We first factorise γ€–9π‘₯γ€—^2 𝑦^2 (3z βˆ’ 24) = γ€–9π‘₯γ€—^2 𝑦^2 Γ— [3z βˆ’ (3 Γ— 8)] Taking 3 common, = γ€–9π‘₯γ€—^2 𝑦^2 Γ— 3 (z βˆ’ 8) = 27 π‘₯^2 𝑦^2 (z βˆ’ 8) Dividing, (9π‘₯^2 𝑦^2 (3𝑧 βˆ’ 24))/(27π‘₯𝑦 (𝑧 βˆ’ 8)) = (27π‘₯^2 𝑦^2 (𝑧 βˆ’ 8))/(27π‘₯𝑦 (𝑧 βˆ’ 8)) = 27/27 Γ— π‘₯^2/π‘₯ Γ— 𝑦^2/𝑦 Γ— ((𝑧 βˆ’ 8))/((𝑧 βˆ’ 8)) = 1 Γ— x Γ— y Γ— 1 = xy (𝐴𝑠 π‘Ž^π‘š/π‘Ž^𝑛 =π‘Ž^(π‘š βˆ’ n) )

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