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Answer:

The total volume of water in the pool  =-2 (x-11)(x+5) ft^3

Step-by-step explanation:

a) (2x^2 + 12x + 10) - (4x^2-100)

= 2x^2+12x+10-4x^2+100

= -2x^2+12x+110

b)

Lets simplify first by taking the GCF out:

= -2 (x^2-6x-55)

Now Just simplify by finding the product of a and c

I used -11 and 5 because when you multiply -11x5 you get -55, and when you do -11+5 you get -6.

= -2 (x-11)(x+5) ft^3

semsee45

Answer:

Given expressions

Deep end:   [tex]2x^2+12x+10[/tex]

Shallow end:  [tex]4x^2-100[/tex]

a) Difference between the deep end and shallow end

⇒ difference = deep end - shallow end

                     [tex]=(2x^2+12x+10)-(4x^2-100)[/tex]

b) simplifying:

                     [tex]=2x^2+12x+10-4x^2+100[/tex]

                     [tex]=(-2x^2+12x+110) \textsf{ ft}^3[/tex]

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