Question

You can help me with any one of these equations I would really appreciate it but also please provide step-by-step explanation thank you I will choose Brainly

Answer 1

$[Hello,BrainlyUser]$

Answer:

[5] $2x^2+xy+-3y^2$

[6] $2x^3+-7x^2+-3x$

[7] $4a+2b$

[8] $6x+2y-5$

[9] $x^2-3xy-10y+75$

Step-by-step explanation:

Let's start with [5]

$3x^2-2xy-2x^2-(x^2-3xy+y^2)$

Distribute the Negative Sign:

$=3x^2-2xy-2y^2-1(x^2-3xy+y^2)$

$=3x^2+-2xy+-2y^2+-1x^2+-1(-3xy)+-1y^2$

$=3x^2+-2xy+-2y^2+-x^2+3xy+-y^2$

Combine like term

$=3x^2+-2xy+-2y^2+-x^2+3xy+-y^2$

$=(3x^2+-1x^2)+(-2xy+3xy)+(-2y^2+-y^2)$

$=2x^2+xy+-3y^2$

Answer = $2x^2+xy+-3y^2$

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[6] $\left(2x^3-5x^2-3x\right)-2x^2$

Combine like terms

$\left(2x^3-5x^2-3x\right)-2x^2$

$=(2x^2)+(-5x^2+-2x^2)+(-3x)$

$=2x^3+-7x^2+-3x$

Answer = $2x^3+-7x^2+-3x$

-------------------------------------------------------------------------------------------------------------     [7]  $4a-(3a-2b)+3a$

$=4a+-3a+2b+3a$

Combine like terms:

$=(4a+-3a+3a)+(2b)$

$=4a+2b$

Answer = $4a+2b$

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[8]  $\left[3x-\left[x-4x+2y\right)+4y\right]-5$

$3x-(-3x-2y+4y)-5$

$=3x-(-3x+2y)-5$

$=3x+3x-2y-5$

$=6x-2y-5$

Answer = $6x-2y-5$

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[9] $x^2-3xy+5\left\{2+\left[y-3\left(y-6\right)-5\right]\right\}$

Combine likes terms

$x^2-3xy-10y+75$

Answer = $x^2-3xy-10y+75$

[CloudBreeze]