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Example 16 - Chapter 14 Class 8 Factorisation
Last updated at March 16, 2023 by Teachoo
Transcript
Example 16 Divide z (5π§^2 β 80) by 5z (z + 4) We first factorise z(γ5π§γ^2β 80) = z(γ5π§γ^2β (16 Γ 5)) Taking 5 common, = z Γ 5 (π§^2β 16) = 5z (π§^2 β 4^2) Using π^2 β π^2 = (a + b) (a β b) Here π= z and b = 4 = 5z (z + 4) (z β 4) Dividing (π§ (5π§^2 β 80))/(5π§ (π§ + 4)) = (5π§ (π§ + 4) (π§ β 4))/(5π§ (π§ + 4)) = 5π§/5π§ Γ ((π§ + 4))/((π§ + 4)) Γ (z β 4) = 1 Γ 1 Γ (z β 4) = (z β 4)
