What is the standard form of a polynomial $(6w^2 – 5w – 8) – (7w^2 + 4w – 2)$ ?

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Answer 1 · 2017-06-07T21:49:12

See a solution process below:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

$6w^2 - 5w - 8 - 7w^2 - 4w + 2$

Next, group like terms:

$6w^2 - 7w^2 - 5w - 4w - 8 + 2$

Now, combine like terms:

$(6 - 7)w^2 + (-5 - 4)w + (-8 + 2)$

$-1w^2 + (-9)w + (-6)$

$-1w^2 - 9w - 6$

What is the standard form of a polynomial (6w^2 – 5w – 8) – (7w^2 + 4w – 2) (6w^2 – 5w – 8) – (7w^2 + 4w – 2) ?