Question

Multiply. (2x − 5) (x − 7x + 10). If your coefficient is negative, you must put in a negative sign.
If it is positive, do not put in the positive sign, because it is already in the answer. (12 points)

Answer 1

First simplify inside the second parentheses: x − 7x + 10 = −6x + 10.

Now multiply: (2x − 5)(−6x + 10)
= 2x(−6x) + 2x(10) + (−5)(−6x) + (−5)(10)
= −12x^2 + 20x + 30x − 50
= −12x^2 + 50x − 50.