Q26. Write the following statements in the form of algebraic expressions
(a) x is multiplied by itself and then added to the product of x and y.
(b) Three times of p and two times of q are multiplied and then subtracted from r.
(c) Sum of the products of a and b, b and c and c and a.
(d) Perimeter of an equilateral triangle of side x.

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Solution

Dear Student,

$(a) x i s m u l t i p l i e d b y i t s e l f a n d t h e n a d d e d t o t h e p r o d u c t o f x a n d y . A n s : x \times x + x \times y \Rightarrow x^{2} + x y (b) T h r e e t i m e s o f p a n d t w o t i m e s o f q a r e m u l t i p l i e d a n d t h e n s u b t r a c t e d f r o m r . A n s : r - (3 p \times 2 q) \Rightarrow r - 6 p q (c) S u m o f t h e p r o d u c t s o f a a n d b, b a n d c a n d c a n d a . A n s : a b + b c + c a (d) P e r i m e t e r o f a n e q u i l a t e r a l t r i a n g l e o f s i d e x . A n s : P e r i m e t e r o f e q u i l a t e r a l t r i a n g l e = 3 \times x \Rightarrow 3 x$

Regards,

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