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Like Terms

Which of the ...

Question

Which of the following are like terms?

A

5xy, -3xz

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B

5xy, 5yz

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C

-5xy, 7xy

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D

5xy,

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Solution

The correct option is C
-5xy, 7xy

Like terms are the terms that contain same variables raised to the same power, the coefficients need not be same.
Therefore, $- 5 x y z^{2}$ , $7 x y z^{2}$ are like terms.

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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 :

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

Which of the following are like terms? (a) $5 x y z^{2}, - 3 x y^{2} z$ (b) $- 5 x y z^{2}, 7 x y z^{2}$ (c) $5 x y z^{2}, 5 x^{2} y z$ (d) $5 x y z^{2}, x^{2} y^{2} z^{2}$

Add the following:

$3 x y, - 5 x y, 7 x y$

Simplify the following : $7 x y + 4 x y - 3 x y - 11 x y + 5 x y - x y$

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