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Mathematics 28 Online
OpenStudy (anonymous):

can somebody please show me how to do this and show all work? 1. Multiply the expression and simplify: (x-2)(x^2+3x-5)

OpenStudy (confluxepic):

\[\huge \color{blue}{Welcome~To~OpenStudy!!!}\]

OpenStudy (anonymous):

thank you :) can you help me on my problem?

OpenStudy (anonymous):

@confluxepic

OpenStudy (confluxepic):

\[(x-2)(x^{2}+3x-5)\]

OpenStudy (confluxepic):

Do you know how to distribute.

OpenStudy (confluxepic):

This could help. http://www.mathwords.com/d/distribute.htm

OpenStudy (anonymous):

that didn't make much sense, can you explain

OpenStudy (confluxepic):

For example lets multiply (2+x)(3+x). You can use the FOIL method. First multiply 2 and 3. We get 6. Next multiply 2 and x. We get 2x. Then multiply x and 3. We get 3x. After that multiply x and x. We get x^2. Put them together. We get \[x^{2}+2x+3x+6\] Add the like terms and we get\[x^{2}+5x+6\] That is how you distribute.

OpenStudy (anonymous):

that makes sense, thank you! so for this problem, (x-2)(x^2+3x-5) multiply 2 and 2 and get 4 2 and 3 and get 6 2 and 5 and get ten so is it 4+6+10

OpenStudy (confluxepic):

\[(x)(x^{2})+(x)(3x)+(x)(-5)+(-2)(x^{2})+(-2)(3x)+(-2)(-5)\]

OpenStudy (confluxepic):

\[(x^{3})+(3x^{2})+(-5x)+(-2x^{2})+(-6x)+(10)\]

OpenStudy (confluxepic):

\[(x^{3})+(x^{2})+(-11x)+(10)\]

OpenStudy (confluxepic):

That is the simplified equation.

OpenStudy (anonymous):

okay, so what is the next step

OpenStudy (anonymous):

@confluxepic

OpenStudy (confluxepic):

\[x^{3}+x^{2}-11x+10\]

OpenStudy (confluxepic):

That's the answer.

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