Ex 9.5, 3 - Chapter 9 Class 8 Algebraic Expressions and Identities - Part 5

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Question 3 Find the following squares by using the identities. (v) (0.4𝑝−0.5𝑞)^2 (0.4𝑝−0.5𝑞)^2 (𝑎−𝑏)^2=𝑎^2+𝑏^2−2𝑎𝑏 Putting 𝑎 = 0.4𝑝 & 𝑏 = 0.5𝑞 = (0.4𝑝)^2+(0.5𝑞)^2−2(0.4𝑝)(0.5𝑞) = (4/10)^2×𝑝^2+(5/10)^2×𝑞^2−(2×4/10×5/10)×(𝑝×𝑞) = 16/100 𝑝^2+ 25/100 𝑞^2−4/10 𝑝𝑞 = 𝟎.𝟏𝟔𝒑^𝟐+𝟎.𝟐𝟓𝒒^𝟐−𝟎.𝟒𝒑𝒒

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