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Simplify the expression $g\left(p\right)=3200-2\left(p-80\right)^2$

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Solution

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Final answer to the problem

$g\left(p\right)=-9600-2p^2+320p$
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Step-by-step Solution

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Learn how to solve special products problems step by step online. Simplify the expression g(p)=3200-2(p-80)^2. A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: (a-b)^2=a^2-2ab+b^2. Multiply the single term -2 by each term of the polynomial \left(p^2-160p+6400\right). Multiply -160 times -2. Multiply -2 times 6400.

Final answer to the problem

$g\left(p\right)=-9600-2p^2+320p$

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Function Plot

Plotting: $g\left(p\right)-3200+2\left(p-80\right)^2$

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◻/◻
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◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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