Answer:
x²-5x+6
Step-by-step explanation:
The question is to find product in : x(x-2)+3(2-x)-----------(a)
Make terms in brackets same by introducing a negative sign as;
Collect like terms as : x(x-2) - 3 (x-2)------------ (b)
Note that expression (a) is similar to (b)
Factorize equation (b) as : (x-3)(x-2)
Distribute as : x(x-2) -3 (x-2 ) ------ x²-2x-3x+6
Collect like terms as: x²-5x+6
Final expression : x²-5x+6
Testing with x=5 in original expression
x(x-2)+3(2-x)
5(5-2)+3(2-5)
25-10+6-15
25+6-10-15
31-10-15=6
Using the final expression;
x²-5x+6
5²-5(5)+6
25-25+6
=6
