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Algebraic Expressions

Which of the ...

Question

Which of the following is unlike 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 options are
A
5xy, -3xz

B
5xy, 5yz

D
5xy,

Like terms are the terms that contain same variables raised to the same power in an algebraic expression. The coefficient of the terms need not be the same.
Unlike terms are the terms in an algebraic expression having different variables and powers.
In the given options, option a, b and d represents unlike terms whereas option c represents 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 :

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

Q. Add the following:

$4 x y - 5 y z - 7 z$

$- 5 x y + 2 y z + z x$

$- 2 x y - 3 y z + 3 z x$

------------------------------

3 x y + 5 y z - 7 z x

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

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

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