In algebra collect like terms means combining the like terms together. It can be done with the help of variables, powers and the terms which have like properties. When collecting like terms the corresponding sign of a particular number will carry with the term.
For Example:
Combine the like terms and simplify the expression 2x + 8y +2 + 4x + y + 1
SOLUTION:
The given expression is 2x + 8y +2 + 4x + y + 1
The terms in the given expression is 2x, 8y, 2 , 4x, y, 1.
Now combine the like terms with the help of variables.
Collect 2x and 4x together, 8y and y together and the constants 2 and 1 together.
The simplified answer for the given expression is
= 2x + 8y +2 + 4x + y + 1
= 2x+4x +8y +y + 2+1
= 6x + 9y +3
Collect like terms: 11c+6d-5c-8d = 6c-2d
Expand: 8z-4-5z Collect like terms: 3z-4
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Parentheses are brackets which are rounded kind. Like the one below: ( ..... )
Like terms are terms that have the same combination of variables.
it means to get synonyms of the word or other words that are similar to the word given.
Collect like terms: 11c+6d-5c-8d = 6c-2d
To collect your data or to gather it and put it all into a graph or plot for you to make a problem to solve.
"Like terms" are terms that have the same variables, but possibly with different numbers. "Collect" means to put them together - add the numbers. For example, in an expression such as: 5x + 3y - 2x You can combine the "x" terms: (5x - 2x) + 3y and add the numbers (this is justified by the distributive property: (5x - 2x) + 3y = (5 - 2)x + 3y = 3x + 3y
3e+7e = 10e
Like terms are terms with the same variable to the same power. Examples: 2y and 3y are like terms. 2y and 2z are not like terms 4y squared and 3y squared are like terms 4y squared and 3y are not like terms
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Expand: 8z-4-5z Collect like terms: 3z-4
Multiply out the brackets and collect the like terms which simplifies to 5w-7v
That is part of the prosess to make Maple syrup
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Collect like terms is a good starting point. Giving an example would have nade it easier to explain.