What is the standard form of y=(2x-3)(x+5) ?

1 Answer
smendyka
Feb 19, 2017

y = 2x^2 + 7x - 15

Explanation:

To get the standard form multiply these two terms. To solve you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

y = (color(red)(2x) - color(red)(3))(color(blue)(x) + color(blue)(5)) becomes:

y = (color(red)(2x) xx color(blue)(x)) + (color(red)(2x) xx color(blue)(5)) - (color(red)(3) xx color(blue)(x)) - (color(red)(3) xx color(blue)(5))

y = 2x^2 + 10x - 3x - 15

We can now combine like terms:

y = 2x^2 + (10 - 3)x - 15

y = 2x^2 + 7x - 15

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