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wolverine [178]
3 years ago
13

Expand and simplfy (x+3)(x-3)(3x+2)

Mathematics
1 answer:
tester [92]3 years ago
4 0

Answer:

{3x}^{3}  + {2x}^{2}  - 27x - 18

Step-by-step explanation:

1) Use difference of squares: a² - b² = (a + b) (a - b).

( {x}^{2}  -  {3}^{2} )(3x + 2)

2) Simplify 3² to 9.

( {x}^{2}   - 9)(3x + 2)

3) Use The FOIL method: (a + b) (c + d) = ac + ad + bc + bd.

{3x}^{3}  + {2x}^{2}  - 27x - 18

Therefor, the answer is 3x³ + 2x² + -26x -18.

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Three to the sixth power divided by three to the third power
mrs_skeptik [129]

let's first convert this to number form.

3^6 / 3^3= what?

to divide a number with the same base but different exponent, we simply subtract the second exponent by the first exponent.

3^6 / 3^3 = 3^6-3=3^3

3 0
3 years ago
A triangular prism was sliced parallel to its base. What is the shape of the cross section shown in the figure?
alexandr1967 [171]

Answer:

it would be a triangle

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
ABC and AED are straight lines. BE and CD are parallel. AC = 12.3cm AB = 8.2cm BE = 3.8cm a) Work out length CD. AD = 9.15cm
elena-14-01-66 [18.8K]

Answer:

15.33cm

Step-by-step explanation:

when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately  it forms a right-angled triangle with sides AC and AD and hypotenuse CD.

Now, you may use Pythagoras theorem to solve:

AC^2 + AD^2 = CD^2

12.3^2 + 9.15^2 = CD^2

CD^2 = 235.0125

CD = square root of 235.0125 = 15.33cm

Hope this helps

6 0
3 years ago
Lucas bought an 8 pack if bottled iced tea. Each bottle contained 14.75 fluid ounces. What was the totals number of fluid ounces
Mrac [35]

Answer:

118 fluid ounces in all.

Step-by-step explanation:

The answer 118 because 14.75 multiplied by 8 is 118.

4 0
2 years ago
Which is a simplified form of the expression -4(n + 1) – (n + 2)?
Nadya [2.5K]

Answer:

-(5 n + 6)

Step-by-step explanation:

Simplify the following:

-4 (n + 1) - (n + 2)

-4 (n + 1) = -4 n - 4:

-4 n - 4 - (n + 2)

-(n + 2) = -n - 2:

-4 - 4 n + -n - 2

Grouping like terms, -4 - 4 n - 2 - n = (-4 n - n) + (-4 - 2):

(-4 n - n) + (-4 - 2)

-4 n - n = -5 n:

-5 n + (-4 - 2)

-4 - 2 = -(4 + 2):

-5 n + -(4 + 2)

4 + 2 = 6:

-5 n - 6

Factor -1 out of -5 n - 6:

Answer: -(5 n + 6)

4 0
3 years ago
Read 2 more answers
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