How do you write $(7x^3 + 10x^2 + 5x + 1) + (2x^3 + 8x^2 + 6x + 9)$ in standard form?

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Answer 1 · 2017-09-29T15:11:50

See a solution process below:

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

$7x^3 + 10x^2 + 5x + 1 + 2x^3 + 8x^2 + 6x + 9$

Next, group like terms:

$7x^3 + 2x^3 + 10x^2 + 8x^2 + 5x + 6x + 1 + 9$

Now, combine like terms:

$(7 + 2)x^3 + (10 + 8)x^2 + (5 + 6)x + (1 + 9)$

$9x^3 + 18x^2 + 11x + 10$

How do you write (7x^3 + 10x^2 + 5x + 1) + (2x^3 + 8x^2 + 6x + 9)(7x^3 + 10x^2 + 5x + 1) + (2x^3 + 8x^2 + 6x + 9) in standard form?