Example 14 - Use the Identity (x + a) (x + b) = x^2 + (a + b) x + ab

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Example 14 Use the Identity (π‘₯+π‘Ž)(π‘₯+𝑏)=π‘₯^2+(π‘Ž+𝑏)π‘₯+π‘Žπ‘ to find the following: (i) 501 Γ— 502 501 Γ— 502 = (500+1)Γ—(500+2) (π‘₯+π‘Ž)(π‘₯+𝑏)=π‘₯^2+(π‘Ž+𝑏)π‘₯+π‘Žπ‘ Putting π‘₯ = 500 , π‘Ž = 1 & 𝑏 = 2 = (500)^2+(1+2)(500)+(1)(2) = 250000+(3Γ—500)+2 = 250000+1500+2 = πŸπŸ“πŸπŸ“πŸŽπŸ

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