Answers:
1) x(x + 1) - 3(x + 1) = (x + 1)(x - 3)
2) xy (xy + 2) + 1 (xy + 2) = (xy + 2)(xy + 1)
3) x²(x + y) + y²(x + y) = (x + y)(x² + y²)
4) 2x(x + 1) + x(x + 1) - 2(x + 1) = (x + 1)(2x + x - 2)
5) x(2x - 3) - y(2x - 3) + xy(2x - 3) = (2x - 3)(x - y +xy)
Step-by-step explanation:
To factorize, we need to type first the like expressions and then form another term with the other parts. For example
x(x + 1) - 3(x + 1) = (x + 1)(x - 3)
Because both terms have the expression (x + 1) and the other parts x and -3 form the term (x-3).
In the same way, we get:
xy (xy + 2) + 1 (xy + 2) = (xy + 2)(xy + 1)
x²(x + y) + y²(x + y) = (x + y)(x² + y²)
2x(x + 1) + x(x + 1) - 2(x + 1) = (x + 1)(2x + x - 2)
x(2x - 3) - y(2x - 3) + xy(2x - 3) = (2x - 3)(x - y +xy)