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Question 1 of 4
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When simplifying expressions, like terms can be combined or operated on.
There are two terms that both have the variable y2, so we can combine them.
Note that variables without constants have 1 as a constant.
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7x+6y2 -3+y2 -5x |
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= |
(6+1)y2+7x-3-5x |
Solve the constants of like terms |
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= |
7y2+7x-3-5x |
There are also two terms that both have the variable x, so we can combine them.
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7y2+7x -3-5x |
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= |
7y2+(7-5)x -3 |
Solve the constants of like terms |
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= |
7y2+2x-3 |
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Question 2 of 4
Simplify
3b2-9+2b-b2+4b-2a
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When simplifying expressions, like terms can be combined or operated on.
There are two terms that both have the variable b2, so we can combine them.
Note that variables without constants have 1 as a constant.
|
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3b2 -9+2b-b2 +4b-2a |
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= |
(3-1)b2 -9+2b+4b-2a |
Solve the constants of like terms |
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= |
2b2-9+2b+4b-2a |
There are also two terms that both have the variable b, so we can combine them.
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2b2-9+2b +4b -2a |
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= |
2b2-9+(2+4)b -2a |
Solve the constants of like terms |
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= |
2b2+6b-2a-9 |
Rearrange the values further |
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Question 3 of 4
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When simplifying expressions, like terms can be combined or operated on.
There are two terms that both have the variable ab, so we can combine them.
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7ab +4bc-3ab -cb |
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= |
(7-3)ab +4bc-cb |
Solve the constants of like terms |
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= |
4ab+4bc-cb |
The variable cb can also be written as bc, and can be combined to another similar term.
Note that variables without constants have 1 as a constant.
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= |
4ab+4bc -cb |
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4ab+4bc-bc |
cb=bc |
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= |
4ab+(4-1)bc |
Solve the constants of like terms |
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= |
4ab+3bc |
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Question 4 of 4
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When simplifying expressions, like terms can be combined or operated on.
There are two terms that both have the variable a2, so we can combine them.
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9a2 +3ab+2ba+4a2 |
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= |
(9+4)a2 +3ab+2ba |
Solve the constants of like terms |
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= |
13a2+3ab+2ba |
The variable ba can also be written as ab, and can be combined to another similar term.
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= |
13a2+3ab +2ba |
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13a2+3ab +2ab |
ba=ab |
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= |
13a2+(3+2)ab |
Solve the constants of like terms |
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= |
13a2+5ab |
