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

$A = (7 x y + 5 y z - 3 z x)$
$B = (4 y z + 9 z x - 4 y)$
$C = (- 3 x z + 5 x - 2 x y)$ $[3 M a r k s]$

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Solution

Given:
$A = (7 x y + 5 y z - 3 z x)$
$B = (4 y z + 9 z x - 4 y)$
$C = (- 3 x z + 5 x - 2 x y)$ $[0.5 M a r k]$

To find the value of $A + B + C$ we write the expressions one below the other with the like terms appearing exactly below like terms as:

$7 x y + 5 y z - 3 z x$
$4 y z + 9 z x - 4 y$
$- 2 x y - 3 x z + 5 x$ $[1 M a r k]$
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$5 x y + 9 y z + 3 x z - 4 y + 5 x$

Thus, $A + B + C = 5 x y + 9 y z + 3 x z + 5 x - 4 y$ . $[1.5 M a r k s]$

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Similar questions

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

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

When 7xy + 5yz - 3zx, 4yz + 9zx - 4y and - 3xz + 5x - 2xy are added, we get:

Solve the following:
Add $7 x y + 5 y z - 3 z x, 4 y z + 9 z x - 4 y, - 3 x z + 5 x - 2 y$

When $4 y z + 9 z x - 4 y$ and $- 3 x z + 5 x - 2 x y$ are added, we get $4 y z + 6 x z - 2 x y - 4 y + 5 x$ .

A = 9 x y + 4 y z - 4 z x, B = 5 y z + 10 z x - 4 x y, C = - 3 x z

A + B + C

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