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Mathematics 48 Online
OpenStudy (anonymous):

Simplify (x – 4)(x2 – 2x – 3) please! ;)

jimthompson5910 (jim_thompson5910):

Hint: (x – 4)(x^2 – 2x – 3) expands out to x(x^2 – 2x – 3) - 4(x^2 – 2x – 3)

OpenStudy (anonymous):

then what?

jimthompson5910 (jim_thompson5910):

then distribute

OpenStudy (anonymous):

so....x3 + 6x2 – 11x + 12

jimthompson5910 (jim_thompson5910):

x(x^2 – 2x – 3) - 4(x^2 – 2x – 3) x*x^2 – x*2x – x*3 - 4*x^2 -4*(-2x) -4(-3) ... Distribute here x^3 - 2x^2 - 3x - 4x^2 + 8x + 12 ... multiply x^3 - 6x^2 + 5x + 12 ... combine like terms So x(x^2 – 2x – 3) - 4(x^2 – 2x – 3) turns into x^3 - 6x^2 + 5x + 12 ---------------------------------------- This means that (x – 4)(x^2 – 2x – 3) simplifies to x^3 - 6x^2 + 5x + 12

jimthompson5910 (jim_thompson5910):

So you were close

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