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What is the standard form of #y= (x + 2)(x^3 + 216) #?

Answer 1

See the entire solution process below>

We must multiply the two terms on the right to put this equation into standard form: To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

#y = (color(red)(x) + color(red)(2))(color(blue)(x^3) + color(blue)(216))# becomes:

#y = (color(red)(x) xx color(blue)(x^3)) + (color(red)(x) xx color(blue)(216)) + (color(red)(2) xx color(blue)(x^3)) + (color(red)(2) xx color(blue)(216))#

#y = x^4 + 216x + 2x^3 + 432#

We can now put the #x# terms in descending order by power:

#y = x^4 + 2x^3 + 216x + 432#

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Answer 2

Ethan Adkins

The standard form of the given equation is y = x^4 + 2x^3 + 216x + 432.

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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.