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astra-53 [7]
3 years ago
14

Simplify the expression 3(x + 2)(x2 − x − 8). 3x3 + 3x2 − 30x − 48 3x3 + x2 − 10x − 16 3x3 − 30x2 − 12x − 48 3x3 − 4x2 − 30x − 4

Mathematics
2 answers:
Doss [256]3 years ago
4 0

Answer:

The correct option is A) 3x^3+3x^2-30x-48

Step-by-step explanation:

Consider the provided expression.

3\left(x+2\right)\left(x^2-x-8\right)

Distribute 3 as shown

\left(3x+6\right)\left(x^2-x-8\right)

Distribute parentheses as shown.

3xx^2+3x\left(-x\right)+3x\left(-8\right)+6x^2+6\left(-x\right)+6\left(-8\right)

3x^2x-3xx-3\cdot \:8x+6x^2-6x-6\cdot \:8

3x^3-3x^2-24x+6x^2-6x-48

Add and subtract like terms

3x^3+3x^2-30x-48

Hence, the correct option is A) 3x^3+3x^2-30x-48

Leno4ka [110]3 years ago
3 0

Answer:

3x^3 + 3x^2 − 30x − 48

Step-by-step explanation:

3( x + 2 )( x^2 − x − 8 )

= ( 3( x + 2 ))( x^2 + − x + − 8 )

= ( 3( x + 2 ))( x^2 ) + ( 3( x + 2 ))( −x ) + ( 3( x + 2 ))( −8 )

= 3x^3 + 6x^2 − 3x^2 − 6x − 24x − 48

3x^3 + 3x^2 − 30x − 48

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18-3y.

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3 years ago
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True or False:<br> There are an infinite number of answers for this equation:<br> 63 - X = 34
Shtirlitz [24]

Answer: No, the answer is 29, this is false.

Step-by-step explanation: 63-x=34

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34-63= -29

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8 0
3 years ago
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What is 1986÷7 please help me
sertanlavr [38]
Step 1. Set up long division 

  _______
7| 1 9 8 6

Step 2. <span>Calculate 19 ÷ 7, which is 2 with a remainder of 5.

       2
</span>  _______
7| 1 9 8 6
    1 4
_________
       5
  Step 3. Bring down 8, so that 58 is large enough to be divided by 7.

       2
  _______
7| 1 9 8 6
    1 4
_________
       5 8

Step 4. <span>Calculate 58 ÷ 7, which is 8 with a remainder of 2.

</span>       2 8
  _______
7| 1 9 8 6
    1 4
_________
       5 8
       5 6
_________
          2

Step 5. <span>Bring down 6, so that 26 is large enough to be divided by 7.

</span>      2 8
  _______
7| 1 9 8 6
    1 4
_________
       5 8
       5 6
_______
          2 6

Step 6. Calculate 26 ÷ 7, which is 3 with a remainder of 5.
   
       2 8 3
  _______
7| 1 9 8 6
    1 4
_________
       5 8
       5 6
_______
          2 6
          2 1
       ______
             5

Step 7. <span>Therefore, 1986 ÷ 7 = 283 with a remainder of 5.

823 With a remainder of 5

Done!

</span><span>Decimal Form If Needed: 283.714286</span>
6 0
3 years ago
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