(x² – 3x + 7) x (2x+3) – InterviewSolution

1.	(x² – 3x + 7) x (2x+3)
Answer» Step-by-step EXPLANATION: $( {x}^{2} - 3x + 7)(2x + 3) \\ = {x}^{2}(2x) + {x}^{2} (3) - 3x(2x) - 3x(3) + 7(2x) + 7(3) \\ = 2 {x}^{3} + 3 {x}^{2} - 6 {x}^{2} - 9x + 14x + 21 \\ = 2 {x}^{3} - 3 {x}^{2} + 5x + 21$

(x² – 3x + 7) x (2x+3)

Answer»

Step-by-step EXPLANATION:

$( {x}^{2} - 3x + 7)(2x + 3) \\ = {x}^{2}(2x) + {x}^{2} (3) - 3x(2x) - 3x(3) + 7(2x) + 7(3) \\ = 2 {x}^{3} + 3 {x}^{2} - 6 {x}^{2} - 9x + 14x + 21 \\ = 2 {x}^{3} - 3 {x}^{2} + 5x + 21$

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(x² – 3x + 7) x (2x+3)​

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(x² – 3x + 7) x (2x+3)