Ex 14.4, 12 - Find and correct the errors (z + 5)^2 = z^2 + 25

 

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Question 12 Find and correct the errors in the following mathematical statements. 〖"(z + 5)" 〗^2= 𝑧^2 + 25 Solving L.H.S : 〖"(z + 5)" 〗^2 Using 〖(𝑎+𝑏)〗^2=𝑎^2+𝑏^2+2𝑎𝑏 Here a = z and b = 5 = 〖(𝑧)〗^2 + 〖(5)〗^2 + 2 (z) (5) = 𝑧^2 + 25 + 10z = 𝑧^2 + 10z + 25 ∴ (𝒛+𝟓)^𝟐 = 𝒛^𝟐 + 10z + 25 is the correct statement.

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