1 year ago

A square is shown below. Which expression can be used to find the area, in square units, of the

Mathematics

1 answer:

xz_007 [3.2K]1 year ago

8 0

8 units OA 4.4 2 1 OB 44 oc 8.8 20.4-8-8

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Find the volume of the shaded figure by subtracting the smaller volume from the larger

alekssr [168]

Answer:

a. $9a^3 - 9ab^2$

b. $9a(a^2 - b^2)$

Step-by-step explanation:

$Volume = l*w*h$

$Volume_{smaller} = l*w*h$

Where, $l = 9a, w = b, h = b$

$Volume_{smaller} = 9a*b*b = 9ab^2$

$Volume_{larger} = l*w*h$

Where, $l = 9a, w = a, h = a$

$Volume_{smaller} = 9a*a*a = 9a^3$

Volume of the shaded figure = $9a^3 - 9ab^2$

b. $9a^3 - 9ab^2$ expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

$9a^3 - 9ab^2 = 9a(a^2 - b^2)$

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3 years ago

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lora16 [44]

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Pavlova-9 [17]

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Step-by-step explanation:

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andrey2020 [161]

Answer:

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PROOF

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