PLS HELP WILL MARK BRAINLIEST NO FAKE ANSWERS

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!