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Assoli18 [71]
3 years ago
11

Subtract polynomials (intro)

Mathematics
1 answer:
ELEN [110]3 years ago
4 0

Answer:

The result in standard form is:

\left(-5t+4t^2-t\right)-\left(8t^2+t\right)=-4t^2-7t

Step-by-step explanation:

Given the polynomials

  • -5t+ 4t² – t
  • 8t² + t

subtracting 8t² + t from -5t+ 4t² – t.

\left(-5t+\:4t^2\:-\:t\right)\:-\:\left(8t^2\:+\:t\right)

Remove parenthese: (-a) = -a

i.e. - (8t² + t) = 8t² - t

so the expression becomes

=-5t+4t^2-t-8t^2-t        

grouping the like terms

=4t^2-8t^2-5t-t-t

Add similar elements: 4t² - 8t² = -4t²

=-4t^2-5t-t-t

Add similar elements: -5t - t - t = -7t

=-4t^2-7t

Therefore, the result in standard form is:

\left(-5t+4t^2-t\right)-\left(8t^2+t\right)=-4t^2-7t

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