Home > Algebra > Simplification of Radical Expressions

How do you simplify #-14cd-2c^2d^2+15cd+9c^2d^2-15cd#?

Answer 1

Eva Adamson

#-14cd+7c^2d^2#

Identify and combine like terms (in red and blue):

#color(red)(-14cd)color(blue)(-2c^2d^2)+color(red)(15cd)+color(blue)(9c^2d^2)color(red)(-15cd)#

#color(red)(-14cd)+color(blue)(7c^2d^2)#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Nathan Axel

To simplify ( -14cd - 2c^2d^2 + 15cd + 9c^2d^2 - 15cd ):

Combine like terms.
Group the terms with similar variables together.
Add or subtract the coefficients accordingly.

[ (-14cd + 15cd - 15cd) + (-2c^2d^2 + 9c^2d^2) ]

[ (-14 + 15 - 15)cd + (-2 + 9)c^2d^2 ]

[ -14cd + (-2 + 9)c^2d^2 ]

[ -14cd + 7c^2d^2 ]

So, the simplified expression is ( -14cd + 7c^2d^2 ).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.