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Mathematics 20 Online
OpenStudy (anonymous):

(-x^2+4)-(x^3+3x-3)+(3x^2-5x+9)=

sam (.sam.):

If you mean factor, (-x^(2)+4)-(x^(3)+3x-3)+(3x^(2)-5x)+9 Remove the parentheses that are not needed from the expression. -x^(2)+4-(x^(3)+3x-3)+3x^(2)-5x+9 Multiply -1 by each term inside the parentheses. -x^(2)+4-x^(3)-3x+3+3x^(2)-5x+9 Since -x^(2) and 3x^(2) are like terms, subtract 3x^(2) from -x^(2) to get 2x^(2). 2x^(2)+4-x^(3)-3x+3-5x+9 Add 3 to 4 to get 7. 2x^(2)+7-x^(3)-3x-5x+9 Add 9 to 7 to get 16. 2x^(2)+16-x^(3)-3x-5x Since -3x and -5x are like terms, subtract 5x from -3x to get -8x. 2x^(2)+16-x^(3)-8x Factor the greatest common factor (GCF) from each group. (2(x^(2)+8)-x(x^(2)+8)) Factor the polynomial by grouping the first two terms together and finding the greatest common factor (GCF). Next, group the second two terms together and find the GCF. Since both groups contain the factor (x^(2)+8), they can be combined. (2-x)(x^(2)+8)

OpenStudy (anonymous):

is there a way you can line this problem up and add and subtract and then write in descending order?

sam (.sam.):

See my attachment.

OpenStudy (anonymous):

thank you for your help!!

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