[tex][Hello,BrainlyUser][/tex]
Answer:
[5] [tex]2x^2+xy+-3y^2[/tex]
[6] [tex]2x^3+-7x^2+-3x[/tex]
[7] [tex]4a+2b[/tex]
[8] [tex]6x+2y-5[/tex]
[9] [tex]x^2-3xy-10y+75[/tex]
Step-by-step explanation:
Let's start with [5]
[tex]3x^2-2xy-2x^2-(x^2-3xy+y^2)[/tex]
Distribute the Negative Sign:
[tex]=3x^2-2xy-2y^2-1(x^2-3xy+y^2)[/tex]
[tex]=3x^2+-2xy+-2y^2+-1x^2+-1(-3xy)+-1y^2[/tex]
[tex]=3x^2+-2xy+-2y^2+-x^2+3xy+-y^2[/tex]
Combine like term
[tex]=3x^2+-2xy+-2y^2+-x^2+3xy+-y^2[/tex]
[tex]=(3x^2+-1x^2)+(-2xy+3xy)+(-2y^2+-y^2)[/tex]
[tex]=2x^2+xy+-3y^2[/tex]
Answer = [tex]2x^2+xy+-3y^2[/tex]
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[6] [tex]\left(2x^3-5x^2-3x\right)-2x^2[/tex]
Combine like terms
[tex]\left(2x^3-5x^2-3x\right)-2x^2[/tex]
[tex]=(2x^2)+(-5x^2+-2x^2)+(-3x)[/tex]
[tex]=2x^3+-7x^2+-3x[/tex]
Answer = [tex]2x^3+-7x^2+-3x[/tex]
------------------------------------------------------------------------------------------------------------- [7] [tex]4a-(3a-2b)+3a[/tex]
[tex]=4a+-3a+2b+3a[/tex]
Combine like terms:
[tex]=(4a+-3a+3a)+(2b)[/tex]
[tex]=4a+2b[/tex]
Answer = [tex]4a+2b[/tex]
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[8] [tex]\left[3x-\left[x-4x+2y\right)+4y\right]-5[/tex]
[tex]3x-(-3x-2y+4y)-5[/tex]
[tex]=3x-(-3x+2y)-5[/tex]
[tex]=3x+3x-2y-5[/tex]
[tex]=6x-2y-5[/tex]
Answer = [tex]6x-2y-5[/tex]
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[9] [tex]x^2-3xy+5\left\{2+\left[y-3\left(y-6\right)-5\right]\right\}[/tex]
Combine likes terms
[tex]x^2-3xy-10y+75[/tex]
Answer = [tex]x^2-3xy-10y+75[/tex]
[CloudBreeze]