Subtract $3 x y + 5 y z - 7 z x$ from $5 x y - 2 y z - 2 z x + 10 x y z$ .

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Solution

From question,
$(5 x y - 2 y z - 2 z x + 10 x y z) - (3 x y + 5 y z - 7 z x)$
$= 5 x y - 2 y z - 2 z x + 10 x y z - 3 x y - 5 y z + 7 z x$
On pairing the like terms, we get
$= (5 x y - 3 x y) + (- 2 y z - 5 y z) + (- 2 z x + 7 z x) + 10 x y z$
$= 2 x y - 7 y z + 5 z x + 10 x y z$
Therefore, the required answer is $2 x y - 7 y z + 5 z x + 10 x y z$ .

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Similar questions

Q. Question 4(ii)
Subtract 3 xy + 5 yz - 7 zx from 5 xy - 2 yz - 2 zx +10 xyz

Subtract:
(i) $4 a - 7 a b + 3 b + 12$ from $12 a - 9 a b + 5 b - 3$
(ii) $3 x y + 5 y z - 7 x z$ from $5 x y - 2 y z - 2 x z + 10 x y z$
(iii) $4 p^{2} q - 3 p q + 5 p q^{2} - 8 p + 7 q - 10$ from $18 - 3 p - 11 q + 5 p q - 2 p q^{2} + 5 p^{2} q$

Q. (i)Subtract

4 a - 7 a b + 3 b + 12

from

12 a - 9 a b + 5 b - 3

.
(ii)Subtract

3 x y + 5 y z - 7 z x

from

5 x y - 2 y z - 2 z x + 10 x y z

.
(iii)Subtract

4 p^{2} q - 3 p q + 5 p q^{2} - 8 p + 7 q - 10

from

18 - 3 p - 11 q + 5 p q - 2 p q^{2} + 5 p^{2} q

Q. Add the following:
(i)

x - 3 y - 2 z 5 x + 7 y - z - 7 x - 2 y + 4 z

(ii)

m^{2} - 4 m + 5 - 2 m^{2} + 6 m - 6 - m^{2} - 2 m - 7

(iii)

2 x^{2} - 3 x y + y^{2} - 7 x^{2} - 5 x y - 2 y^{2} 4 x^{2} + x y - 6 y^{2}

(iv)

4 x y - 5 y z - 7 z x - 5 x y + 2 y z + z x - 2 x y - 3 y z + 3 z x

Q. Subtract

3 x y + 2 z^{2}

from

5 x y + 3 z^{2} - x z

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Subtract 3xy+5yz−7zx from 5xy−2yz−2zx+10xyz.

From question,(5xy−2yz−2zx+10xyz)−(3xy+5yz−7zx)=5xy−2yz−2zx+10xyz−3xy−5yz+7zxOn pairing the like terms, we get=(5xy−3xy)+(−2yz−5yz)+(−2zx+7zx)+10xyz=2xy−7yz+5zx+10xyzTherefore, the required answer is 2xy−7yz+5zx+10xyz.

Subtract $3 x y + 5 y z - 7 z x$ from $5 x y - 2 y z - 2 z x + 10 x y z$ .