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Addition and Subtraction of Algebraic Expressions

iii Add: -7mn...

Question

Question 2 (iii)

Add:

-7mn + 5, 12mn + 2, 9mn - 8, -2mn - 3

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Solution

-7mn + 5, 12mn + 2, 9mn - 8, -2mn - 3 = -7mn + 5 + 12mn + 2 + 9mn - 8 + (-2mn) - 3
= -7mn + 12mn + 9mn - 2mn + 5 + 2 - 8 - 3
= (-7 + 12 + 9 - 2)mn + 7 - 11
= 12mn - 4

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Add:

(i) 3mn, − 5mn, 8mn, −4mn

(ii) t − 8tz, 3tz − z, z − t

(iii) − 7mn + 5, 12mn + 2, 9mn − 8, − 2mn − 3

(iv) a + b − 3, b − a + 3, a − b + 3

(v) 14x + 10y − 12xy − 13, 18 − 7x − 10y + 8xy, 4xy

(vi) 5m − 7n, 3n − 4m + 2, 2m − 3mn − 5

(vii) 4x²y, − 3xy², − 5xy², 5x²y

(viii) 3p²q² − 4pq + 5, − 10p²q², 15 + 9pq + 7p²q²

(ix) ab − 4a, 4b − ab, 4a − 4b

(x) x²− y² − 1 , y² − 1 − x², 1− x² − y²

Question 60 (b)

What should be subtracted from $- 7 m n + 2 m^{2} + 3 n^{2}$ to get $m^{2} + 2 m n + n^{2} ?$

l^{2} + m^{2}, m^{2} + n^{2}, n^{2} + l^{2} + 2 l m + 2 m n + 2 n l

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