Question

Subtract polynomials (intro)

Answer 1

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:

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