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Darya [45]
3 years ago
11

Multiply and simplify: y(2x+3y)(2x+3y)

Mathematics
2 answers:
vekshin13 years ago
6 0
<span>Simplifying y(2x + 3y)(2x + 3y)

Multiply (2x + 3y) * (2x + 3y) y(2x * (2x + 3y) + 3y * (2x + 3y)) y((2x * 2x + 3y * 2x) + 3y * (2x + 3y))
 
Reorder the terms: y((6xy + 4x2) + 3y * (2x + 3y)) y((6xy + 4x2) + 3y * (2x + 3y)) y(6xy + 4x2 + (2x * 3y + 3y * 3y)) y(6xy + 4x2 + (6xy + 9y2))

Reorder the terms: y(6xy + 6xy + 4x2 + 9y2)
 
Combine like terms: 6xy + 6xy = 12xy y(12xy + 4x2 + 9y2) (12xy * y + 4x2 * y + 9y2 * y) (12xy2 + 4x2y + 9y3)</span>
sladkih [1.3K]3 years ago
3 0
2xy+3y^2*2xy+3y^2
3y^2 * 3y^2
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Step-by-step explanation:

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I need an answer quick. I am trying to finish this fast.
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Step-by-step explanation:

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Read 2 more answers
Given a rectangle with a perimeter of 24 inches, why dimensions maximize the area?
Pepsi [2]

Answer:

The dimensions are 6 by 6

Step-by-step explanation:

Calculus answer:

2x +2y= 24

xy= A

2x=24-2y

x=12-y

(12-y)(y)= 12y- y^2

the Derivative is = 12-2y

Then set that equal to zero 0=12-2y

-12=-2y

y=6

Confirm that 6 is a maximum by using a wiggle graph

wiggle graph -∞<---inc--6---dec-->∞

6 is a maximum

plug into original equation

2x + 2(6)=24

2x+12=24

2x=12

x=6

----------------------------------------------------------------------------------------------------

y=6

x=6


     



5 0
3 years ago
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