example
Add: [latex]17{x}^{2}+6{x}^{2}[/latex].
Solution
|
[latex]17{x}^{2}+6{x}^{2}[/latex] |
Combine like terms. |
[latex]23{x}^{2}[/latex] |
example
Subtract: [latex]11n-\left(-8n\right)[/latex].
Answer:
Solution
|
[latex]11n-\left(-8n\right)[/latex] |
Combine like terms. |
[latex]19n[/latex] |
example
Simplify: [latex]{a}^{2}+4{b}^{2}-7{a}^{2}[/latex].
Answer:
Solution
|
[latex]{a}^{2}+4{b}^{2}-7{a}^{2}[/latex] |
Combine like terms. |
[latex]-6{a}^{{}^{2}}+4{b}^{2}[/latex] |
Remember, [latex]-6{a}^{2}[/latex] and [latex]4{b}^{2}[/latex] are not like terms. The variables are not the same.
Example
Find the sum: [latex]\left(4{x}^{2}-5x+1\right)+\left(3{x}^{2}-8x - 9\right)[/latex].
Answer:
Solution
|
[latex]\left(4{x}^{2}-5x+1\right)+\left(3{x}^{2}-8x - 9\right)[/latex] |
Identify like terms. |
|
Rearrange to get the like terms together. |
|
Combine like terms. |
[latex]7x^2-13x-8[/latex] |
example
Find the difference: [latex]\left(7{u}^{2}-5u+3\right)-\left(4{u}^{2}-2\right)[/latex].
Answer:
Solution
|
[latex]\left(7{u}^{2}-5u+3\right)-\left(4{u}^{2}-2\right)[/latex] |
Distribute and identify like terms. |
|
Rearrange the terms. |
|
Combine like terms. |
[latex]3{u}^{2}-5u+5[/latex] |
Exercises
Subtract: [latex]\left({m}^{2}-3m+8\right)[/latex] from [latex]\left(9{m}^{2}-7m+4\right)[/latex].
Answer:
Solution
|
Subtract: [latex]\left({m}^{2}-3m+8\right)[/latex] from [latex]\left(9{m}^{2}-7m+4\right)[/latex]. |
Distribute and identify like terms. |
|
Rearrange the terms. |
|
Combine like terms. |
[latex]8m^2-4m-4[/latex] |