What is the standard form of a polynomial $(5 x^{2} - 4 x + 5) - (3 x^{2} - 6 x + 2)$ $(5x^2 - 4x + 5) - (3x^2 - 6x + 2)$ ?

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Answer 1 · 2017-03-17T22:26:06

See the entire solution process below:

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

$5 x^{2} - 4 x + 5 - 3 x^{2} + 6 x - 2$ $5x^2 - 4x + 5 - 3x^2 + 6x - 2$

Next, group like terms:

$5 x^{2} - 3 x^{2} - 4 x + 6 x + 5 - 2$ $5x^2 - 3x^2 - 4x + 6x + 5 - 2$

Now, combine like terms:

$(5 - 3) x^{2} + (- 4 + 6) x + (5 - 2)$ $(5 - 3)x^2 + (-4 + 6)x + (5 - 2)$

$2 x^{2} + 2 x + 3$ $2x^2 + 2x + 3$

What is the standard form of a polynomial (5x^2 - 4x + 5) - (3x^2 - 6x + 2)(5x2−4x+5)−(3x2−6x+2)(5x^2 - 4x + 5) - (3x^2 - 6x + 2)?