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NCERT Exemplar Solutions Class 7 Mathematics Solutions for Algebraic Expressions - Exercise in Chapter 10 - Algebraic Expressions

Question 31 Algebraic Expressions - Exercise

3x + 23x2 + 6y2 + 2x + y2 + ____________ = 5x + 7y2 .

Answer:

3x + 23x2 + 6y2 + 2x + y2 + (-23x2 ) = 5x + 7y2 .

Let us consider the missing letter be p. Then,

3x + 23x2 + 6y2 + 2x + y2 + p = 5x + 7y2

By transposing 3x, 23x2 , 6y2 , 2x and y2 to RHS

5x – 3x - 23x2 + 7y2 – 6y2 -2x – y 2 = p

2x – 2x – 23x2 + y2 – y

2 = p

P = 0 – 23x2 – 0

P = - 23x2

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