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OpenStudy (waterlover9150802):
OpenStudy (peachpi):
Area of a square = s², where s is the side length.
For ABCD:
\[A=\left( 7x^{\frac{ 3 }{ 2 }} \right)^2\]
OpenStudy (peachpi):
Can you simplify that?
OpenStudy (peachpi):
@waterlover9150802
OpenStudy (waterlover9150802):
i have a question
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OpenStudy (waterlover9150802):
@peachpi
OpenStudy (waterlover9150802):
since the outer square isn't a perfect square, wouldn't it mean that you can't multiply it by one other?
OpenStudy (phi):
if you take a *square root*, a "not perfect square" is inconvenient.
but here you are squaring an expression, and you can always do that.
\[ \left( 7 x^\frac{3}{2}\right)^2 = 7 \cdot x^\frac{3}{2} \cdot 7 \cdot x^\frac{3}{2} \]
OpenStudy (waterlover9150802):
ok @phi thank you
OpenStudy (waterlover9150802):
i got 49 x^3 is that right?
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OpenStudy (phi):
you can change the order when multiplying so you can do
\[ 7\cdot 7 \cdot x^\frac{3}{2} \cdot x^\frac{3}{2} \\ = 49 x^3
\]
OpenStudy (waterlover9150802):
then for c would i have to do 49x^3-9x
OpenStudy (phi):
yes
or
x(49 x^2 -9)
not a better way to write, just a different way.