Respuesta :

Answer:

1.  -3x^2 + 13x + 5

2. 10y^2 - 7

Step-by-step explanation:

1. (7 + 4x - 8x^2) - (2 - 9x - 5x^2)

Combine Like Terms —›

(7) - (2) = 5

(4x) - (-9x) —› (4x) + (9x) = 13x

(-8x^2) - (-5x^2) —› (-8x^2) + (5x^2) = -3x^2

-3x^2 + 13x + 5

2. (2y^2 + 5xy - 8) - (5xy -1 - 10y^20)

(2y^2) - (-10y^2) —› (2y^2) + (10y^2) = 10y^2

(5xy) - (5xy) = 0

(-8) - (-1) —› (-8) + 1 = -7

10y^2 - 7

Answer:

[tex]5 + 13x -3x^{2}[/tex]

[tex]12y^{2} -7[/tex]

Step-by-step explanation:

We'll start out with the first expression given:

[tex](7+4x-8x^{2} ) - (2 - 9x-5x^{2} )[/tex]

We can notice that there's a subtraction sign, or negative sign, outside of the second parentheses. We want to distribute that negative into all the terms inside of the parentheses:

[tex](7 + 4x - 8x^{2} ) - 2 + 9x + 5x^{2}[/tex]

Recall that distributing a negative onto a negative term turns that into a positive term.

Now, we can start grouping like terms together, and then adding those like terms.

[tex]7 - 2 + 4x + 9x + 5x^{2} - 8x^{2}[/tex]

[tex]5 + 13x - 3x^{2}[/tex]

And that's the answer to our first expression.

Now, we'll move on to the second one, doing pretty much the same things as before - we'll start out by distributing the negative.

[tex](2y^{2} + 5xy - 8) - 5xy + 1 + 10y^{2}[/tex]

Then, we'll group like terms together, then add to find our simplified expression.

[tex]2y^{2} + 10y^{2} + 5xy - 5xy + 1 - 8[/tex]

[tex]12y^{2} - 7[/tex]

If you have any further questions, let me know!

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