Answer:
(x³ - 3x² +5x -3) (x-2)
Applying distributive property, we get
(x³ - 3x² +5x -3)x - (x³ - 3x² +5x -3)2
Applying distributing property again we get
x^4 - 3x^3 +5x^2 -3x - (2x^3 - 6x^2 +10x -6)
x^4 - 3x^3 +5x^2 -3x - 2x^3 + 6x^2 -10x +6
x^4 - 5x^3 +11x^2 -13x +6
∴(x³ - 3x² +5x -3) (x-2) = x^4 - 5x^3 +11x^2 -13x +6x
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Answers & Comments
Answer:
(x³ - 3x² +5x -3) (x-2)
Applying distributive property, we get
(x³ - 3x² +5x -3)x - (x³ - 3x² +5x -3)2
Applying distributing property again we get
x^4 - 3x^3 +5x^2 -3x - (2x^3 - 6x^2 +10x -6)
x^4 - 3x^3 +5x^2 -3x - 2x^3 + 6x^2 -10x +6
x^4 - 5x^3 +11x^2 -13x +6
∴(x³ - 3x² +5x -3) (x-2) = x^4 - 5x^3 +11x^2 -13x +6x
[tex]={x}^{3} - 3 {x}^{2} + 5x - 3 \: by \: \: x - 2[/tex]
[tex]= x({x}^{3} - 3 {x}^{2} + 5x - 3 ) - \\ 2({x}^{3} - 3 {x}^{2} + 5x - 3 )[/tex]
[tex] = {x}^{4} - 3 {x}^{3} + 5 {x}^{2} - 3x \\ - 2 {x}^{3} + 6 {x}^{2} - 10x - 6[/tex]
[tex] = {x}^{4} - 5 {x}^{3} + 11 {x}^{2} - 13x - 6[/tex]