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Add the following:
t-8tz, 3tz-z, z-t

Last updated date: 23rd Jul 2024
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Hint: The given is an algebraic expression.Make all like terms in one group and find the sum of terms by adding numerical coefficients of the terms in each group.

“Complete step-by-step answer:”
An algebraic expression is an expression built up from constants, variables and the algebraic operations
(addition, subtraction, multiplication, division and exponentiation by an exponent that is rational number).
Given us three algebraic expressions; (t-3tz), (3tz-z) and (z-t).
Add all the three expressions
(t-3tz)+ (3tz-z) + (z-t)
\[\Rightarrow t-8tz+3tz-z+z-t\]
Cancel out like terms.
\[\Rightarrow -5tz\]
\[\therefore \left( t-3tz \right)+\text{ }\left( 3tz-z \right)\text{ }+\text{ }\left( z-t \right)=-5tz\]

Note: Here, z and t represents the variables used in algebraic expression to form the entity.