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Addition and Subtraction of Algebraic Expression

Find the sum ...

Question

Find the sum of the following polynomials:
$14 x + 10 y - 12 x y - 13, 18 - 7 x - 10 y + 8 x y, 4 x y$

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Solution

Given,
$14 x + 10 y - 12 x - 13, 18 - 7 x - 10 y + 8 x y, 4 x y$

Let's add the given polynomials

$S = 14 x + 10 y - 12 x y - 13 + 18 - 7 x - 10 y + 8 x y + 4 x y$

$= 14 x - 7 x + 10 y - 10 y - 12 x y + 12 x y + 5$ ....... Combining like terms

$= 7 x + 0 + 0 + 5$

$= 7 x + 5$

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Similar questions

14 x + 10 y - 12 x y - 13, 18 - 7 x - 10 y + 8 x y, 4 x y

Question 2 (v)

Add:

14x + 10y - 12xy - 13, 18 - 7x - 10y + 8xy, 4xy

3 m n, - 5 m n, 8 m n, - 4 m n

t - 8 t z, 3 t z, - z, z - t

- 7 m n, + 5, 12 m n + 2, 9 m n - 8, 2 m n, - 3

a + b - 3, b - a + 3, a - b + 3

14 x + 10 y - 12 x y - 13, 18 - 7 x - 10 y + 8 x y, 4 x y

5 m - 7 n, 3 n - 4 m + 2, 2 m - 3 m n - 5

4 x^{2} y, - 3 x y^{2}, - 5 x y^{2}, 5 x^{2} y

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

(2 x + y - 5)^{2}

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