How do you simplify (x - 3)(10x - 20) (x3)(10x20)?

1 Answer
May 8, 2017

See a solution process below:

Explanation:

To simplify this expression multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis.

(color(red)(x) - color(red)(3))(color(blue)(10x) - color(blue)(20))(x3)(10x20) becomes:

(color(red)(x) xx color(blue)(10x)) - (color(red)(x) xx color(blue)(20)) - (color(red)(3) xx color(blue)(10x)) + (color(red)(3) xx color(blue)(20))(x×10x)(x×20)(3×10x)+(3×20)

10x^2 - 20x - 30x + 6010x220x30x+60

We can now combine like terms:

10x^2 + (-20 - 30)x + 6010x2+(2030)x+60

10x^2 + (-50)x + 6010x2+(50)x+60

10x^2 -50x + 6010x250x+60