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

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Solution

5xy -2yz -2zx+10xyz
3xy+5yz -7zx
$\frac{(-) (-) (+)}{2 x y - 7 y z + 5 z x + 10 x y z}$

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\frac{{log}_{x y} x y}{{log}_{x y} x y z} + \frac{{log}_{y z} y z}{{log}_{y z} x y z} + \frac{{log}_{z x} z x}{{log}_{z x} x y z}

When $7 x y + 5 y z - 3 z x$ , $4 y z + 9 z x - 4 y$ and $- 3 x z + 5 x - 2 x y$ are added, we get $5 x y + 9 y z + 3 z x + 5 x - 4 y$ .

Find the value of $A + B + C$ if :

$A = (7 x y + 5 y z - 3 z x)$
$B = (4 y z + 9 z x - 4 y)$
$C = (- 3 x z + 5 x - 2 x y)$

x y + y z + z x + y^{2}

x^{2} + x y + y z + z x

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