Question 4 (iv) - Algebra Identities and Formulas - Chapter 8 Class 8 Algebraic Expressions and Identities
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Question 4 Simplify. (iv) (4𝑚+5𝑛)^2+(5𝑚+4𝑛)^2 Solving (𝟒𝒎+𝟓𝒏)^𝟐 (𝑎+𝑏)^2=𝑎^2+𝑏^2+2𝑎𝑏 Putting 𝑎 = 4𝑚 & 𝑏 = 5𝑛 = (4𝑚)^2+(5𝑛)^2+2(4𝑚)(5𝑛) = 16𝑚^2+25𝑛^2+40𝑚𝑛 Solving (𝟓𝒎+𝟒𝒏)^𝟐 (𝑎+𝑏)^2=𝑎^2+𝑏^2+2𝑎𝑏 Putting 𝑎 = 5𝑚 & 𝑏 = 4𝑛 = (5𝑚)^2+(4𝑛)^2+2(5𝑚)(4𝑛) = 25𝑚^2+16𝑛^2+40𝑚𝑛 ∴ (4𝑚+5𝑛)^2+(5𝑚+4𝑛)^2 = (16𝑚^2+25𝑛^2+40𝑚𝑛)+(25𝑚^2+16𝑛^2+40𝑚𝑛) = (16𝑚^2+25𝑚^2 )+(25𝑛^2+16𝑛^2 )+(40𝑚𝑛+40𝑚𝑛) = 𝟒𝟏𝒎^𝟐+𝟒𝟏𝒏^𝟐+𝟖𝟎𝒎𝒏
Algebra Identities and Formulas
Question 1 (ii) Important
Question 1 (iii)
Question 1 (iv)
Question 1 (v) Important
Question 1 (vi) Important
Question 1 (vii)
Question 1 (viii)
Question 1 (ix) Important
Question 1 (x)
Question 2 (i)
Question 2 (ii)
Question 2 (iii)
Question 2 (iv) Important
Question 2 (v)
Question 2 (vi) Important
Question 2 (vii) Important
Question 3 (i)
Question 3 (ii) Important
Question 3 (iii)
Question 3 (iv) Important
Question 3 (v) Important
Question 3 (vi)
Question 4 (i)
Question 4 (ii)
Question 4 (iii) Important
Question 4 (iv) You are here
Question 4 (v) Important
Question 4 (vi)
Question 4 (vii) Important
Question 5 (i)
Question 5 (ii)
Question 5 (iii) Important
Question 5 (iv)
Question 5 (v) Important
Question 6 (i)
Question 6 (ii) Important
Question 6 (iii)
Question 6 (iv)
Question 6 (v) Important
Question 6 (vi)
Question 6 (vii) Important
Question 6 (viii)
Question 6 (ix) Important
Question 7 (i)
Question 7 (ii) Important
Question 7 (iii)
Question 7 (iv) Important
Question 8 (i)
Question 8 (ii)
Question 8 (iii) Important
Question 8 (iv) Important
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo