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(a) What should be added to x2 + xy + y2 to obtain 2x2 + 3xy?
(b) What should be subtracted from 2a + 8b + 10 to get -3a + 7b + 16?
Let's use the concept of addition and subtraction of algebraic expressions to solve the given questions.
(a) First term = x2 + xy + y2
Final term = 2x2 + 3xy
Second term = Final term - First term
= 2x2 + 3xy - (x2 + xy + y2)
= 2x2 + 3xy - x2 - xy - y2
= x2 + 2xy - y2
Thus, the expression to be added is x2 + 2xy - y2
(b) Let us take the expression to be subtracted as 'X'.
2a + 8b + 10 - X = -3a + 7b + 16
X = 2a + 8b + 10 - (- 3a + 7b + 16)
X = 2a + 8b + 10 + 3a - 7b - 16
X = 5a + b - 6
Thus, the expression to be subtracted is 5a + b - 6.
☛ Check: NCERT Solutions for Class 7 Maths Chapter 12
(a) What should be added to x² + xy + y² to obtain 2x² + 3xy? (b) What should be subtracted from 2a + 8b + 10 to get - 3a + 7b + 16?
Maths NCERT Solutions Class 7 Chapter 12 Exercise 12.2 Question 4
(a) x2 + 2xy – y2 should be added to x2 + xy + y2 to obtain 2x2 + 3xy. (b) 5a + b − 6 should be subtracted from 2a + 8b + 10 to get -3a + 7b + 16.
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