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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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.