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ML Aggarwal Solutions Class 8 Mathematics Solutions for Algebraic Expressions and Identities Exercise 10.5 in Chapter 10 - Algebraic Expressions and Identities

Question 27 Algebraic Expressions and Identities Exercise 10.5

\text { If } a^{2}+b^{2}=41 \text { and } a b=4, \text { find the values of }

(i) a + b

(ii) a – b

Answer:

Given, a^{2}+b^{2}=41 and a b=4 (1)(a+b)^{2}=a^{2}+b^{2}+2 a b \begin{aligned} &=41+2 \times 4 \\ &=41+8 \\ &=49 \end{aligned} (ii) (a-b)^{2}=a^{2}+b^{2}-2 a b =41-2 \times 4 \begin{aligned} &=41-8 \\ &=33 \end{aligned}

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