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2 years ago

Simplify 2x2(4x3 - 3x2 + 6x).

Mathematics

2 answers:

Reil [10]2 years ago

7 0

Its hard to show you the steps just gotta payin attention to your teacher
anyway i tried my best to show you the steps
tbh if you needed explanation you should more points

vaieri [72.5K]2 years ago

7 0

Answer:

The simplified form of the provided expression is $8x^{5} - 6x^{4} + 12x^{3}$

Step-by-step explanation:

Consider the provided expression.

$2x^2(4x^3 - 3x^2 + 6x)$

Use the distributive property:

$a(b+c)=ab+ac$

By using the above property we can simplify it as shown:

$2x^2(4x^3 - 3x^2 + 6x)$

$8x^{(2+3)} - 6x^{(2+2)} + 12x^{(2+1)}$

$8x^{5} - 6x^{4} + 12x^{3}$

Thus, the simplified form of the provided expression is $8x^{5} - 6x^{4} + 12x^{3}$

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The height above the surface of the Earth (in meters) of a rock thrown into the air at 10 m/s after x seconds is given by f(x)

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Answer:

Rock travels about 8.2x²meters higher on the moon than on the Earth.

Step-by-step explanation:

Expression showing the height of a rock thrown into the air at Earth is,

f(x) = -9.8x² + 10x + 1.5

Similarly, expression showing the height of rock thrown on the moon is,

g(x) = -1.6x² + 10x + 1.5

Difference in the height of the rock thrown on moon = g(x) - f(x)

= (-1.6x² + 10x + 1.5) - ( -9.8x² + 10x + 1.5)

= -1.6x² + 9.8x² + 10x - 10x + 1.5 - 1.5

= 8.2x²

Therefore, rock travels about 8.2x²meters higher on the moon than on the Earth.

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