Question

Perform the indicated operation and simplify. (x+3)(x2−5x+2) Write your answer in standard form. No spaces when entering your answers. For this question, you will have to use the carrot key ^ for an exponent and the carrot key is found by pressing "shift" and "6". For example, 42 would be entered as 4^2

Answer 1

x^3-2x^2-13x+6

Explanation:

We are to simplify the expression (x+3)(x^2−5x+2). This is as shown;

(x+3)(x^2−5x+2)

Expand

= x(x^2)-5x(x)+2x+3x^2-3(5x)+6

= x^3 - 5x^2+2x+3x^2-15x+6

Collect the like terms

= x^3 - 5x^2+3x^2+2x-15x=6

= x^3-2x^2-13x+6

This gives the required expression