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)
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thank you :) can you help me on my problem?
@confluxepic
\[(x-2)(x^{2}+3x-5)\]
Do you know how to distribute.
that didn't make much sense, can you explain
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.
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
\[(x)(x^{2})+(x)(3x)+(x)(-5)+(-2)(x^{2})+(-2)(3x)+(-2)(-5)\]
\[(x^{3})+(3x^{2})+(-5x)+(-2x^{2})+(-6x)+(10)\]
\[(x^{3})+(x^{2})+(-11x)+(10)\]
That is the simplified equation.
okay, so what is the next step
@confluxepic
\[x^{3}+x^{2}-11x+10\]
That's the answer.
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