The addition of the the given algebraic terms ( -4xz - 15xy ) + ( 20xy - 9yz - 16xz ), gives us 5xy - 9yz - 20xz as the final expression.
How is the addition of algebraic terms done?
To add algebraic terms, we combine the like terms and add the numerals attached to them, to get the final expression.
How to solve the question?
In the question, we are asked to add ( -4xz - 15xy ) + ( 20xy - 9yz - 16xz ).
To add the given algebraic terms, we do as follows:
( -4xz - 15xy ) + ( 20xy - 9yz - 16xz ),
= -4xz -15xy + 20xy - 9yz - 16xz {Opening the brackets},
= xy( -15 + 20) -9yz +xz( -16 - 4) {Combining the like terms xy and xz individually},
= 5xy - 9yz - 20xz {Adding the respective numerals and opening the brackets to get the final expression}.
Thus, the addition of the the given algebraic terms ( -4xz - 15xy ) + ( 20xy - 9yz - 16xz ), gives us 5xy - 9yz - 20xz as the final expression.
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