How do you write #(x-10)(2x+3)# in standard form?

1 Answer
Mar 25, 2018

Answer:

See a solution process below:

Explanation:

To write the expression in standard form, first, 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)(10))(color(blue)(2x) + color(blue)(3))# becomes:

#(color(red)(x) xx color(blue)(2x)) + (color(red)(x) xx color(blue)(3)) - (color(red)(10) xx color(blue)(2x)) - (color(red)(10) xx color(blue)(3))#

#2x^2 + 3x - 20x - 30#

We can now combine like terms:

#2x^2 + (3 - 20)x - 30#

#2x^2 + (-17)x - 30#

#2x^2 - 17x - 30#