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boyakko [2]
3 years ago
15

Factorise x cubed - x

Mathematics
1 answer:
kirill [66]3 years ago
7 0

Answer:

= x(x+1)(x-1)

Step-by-step explanation:

Given the expression x³ - x

On factorizing

x³ - x

= x(x²-1)

Using difference of two square

a² - b² = (a+b) (a-b)

x² - 1

= x² - 1²

= (x+1)(x-1)

The complete factor

x³ - x

= x(x²-1)

= x(x+1)(x-1)

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Then u bring light terms together

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Calculate the volume of the composite shape<br> please please help giving brainliest!!
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{\qquad\qquad\huge\underline{{\sf Answer}}}

There are two hemispheres in there with radius 3 cm, so we can consider it as a whole one. and the other shape in between is Cylinder with radius 3 cm and height 4 cm.

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<u>Volume</u> <u>of</u> <u>sphere</u> :

\qquad \sf  \dashrightarrow \:  \cfrac{4}{3} \pi {r}^{3}

\qquad \sf  \dashrightarrow \:  \cfrac{4}{3}  \sdot3.14 \sdot {(3)}^{3}

\qquad \sf  \dashrightarrow \: (4 )\sdot(3.14) \sdot(9)

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<u>Volume</u> <u>of</u> <u>Cylinder</u> :

\qquad \sf  \dashrightarrow \: \pi {r}^{2} h

\qquad \sf  \dashrightarrow \: 3.14 \cdot(3) {}^{2}  \sdot4

\qquad \sf  \dashrightarrow \: 3.14 \sdot(9) \sdot(4)

\qquad \sf  \dashrightarrow \: 113.04 \:  \: cm {}^{3}

<u>Volume</u> <u>of</u> <u>whole</u> <u>shape</u> :

\qquad \sf  \dashrightarrow \: 113.04 + 113.04 = 226.08 \:  \: cm {}^{3}

\qquad \sf  \dashrightarrow \:  226.08 \:  \: cm {}^{3}

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74.059 is the answer.




Hope this helps...


3 0
3 years ago
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