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aev [14]
2 years ago
15

(2x)(x2) + (2x)(x) + (2x)(–2) + (3)(x2) + (3)(x) + (3)(–2) Can someone simplify this

Mathematics
1 answer:
alexandr402 [8]2 years ago
5 0

Answer:

2x^3 + 5x^2 - x - 6

Step-by-step explanation:

[NOTE]

I am assuming x2 is x^2, if I am wrong about that then please notify me in the comments

[END NOTE]

The parenthesis are implications that we multiply the numbers within them.

Therefore, multiply.

(2x)(x2)

2x^3

(2x)(x)

2x^2

2x^3 + 2x^2

(2x)(-2)

-4x

2x^3+2x^2-4x

(3)(x2)

3x^2

2x^3+2x^2-4x+3x^2

(3)(x)

3x

2x^3+2x^2-4x+3x^2+3x

(3)(-2)

-6

2x^3+2x^2-4x+3x^2+3x-6

Now combine like terms, meaning the numbers with the same endings, you cannot add a number with different exponents and adding numbers with and without a variable.

2x^3 + 5x^2 - x - 6

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Volume of one cubic block = (1/6)^3  = 1/216 cu ins

Volume of the prism = 1/3 * 2/3 * 2/3  = 4/27  cu ins

Number of blocks to fill prism  = 4/27 / 1/216   = (216*4) / 27  =  32
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Answer:

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