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Lerok [7]
3 years ago
12

Simplify the expression 3(x + 2)(x2 − x − 8).

Mathematics
1 answer:
expeople1 [14]3 years ago
8 0

Answer:

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

Step-by-step explanation:

we apply distributive property

3(x + 2)(x^2 − x − 8)

so we have:

(3*x+3*2)(x^2 − x − 8)

(3x+6)(x^2 − x − 8)

3x*x^2 - 3x*x -3x*8 + 6*x^2 -6*x -6*8

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

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

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What is the solution to the equation 13.7y – 10.6 = 6.2y + 19.4?  
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Answer:

4

Step-by-step explanation:

Simplifying

13.7y + -10.6 = 6.2y + 19.4

Reorder the terms:

-10.6 + 13.7y = 6.2y + 19.4

Reorder the terms:

-10.6 + 13.7y = 19.4 + 6.2y

Solving

-10.6 + 13.7y = 19.4 + 6.2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6.2y' to each side of the equation.

-10.6 + 13.7y + -6.2y = 19.4 + 6.2y + -6.2y

Combine like terms: 13.7y + -6.2y = 7.5y

-10.6 + 7.5y = 19.4 + 6.2y + -6.2y

Combine like terms: 6.2y + -6.2y = 0.0

-10.6 + 7.5y = 19.4 + 0.0

-10.6 + 7.5y = 19.4

Add '10.6' to each side of the equation.

-10.6 + 10.6 + 7.5y = 19.4 + 10.6

Combine like terms: -10.6 + 10.6 = 0.0

0.0 + 7.5y = 19.4 + 10.6

7.5y = 19.4 + 10.6

Combine like terms: 19.4 + 10.6 = 30

7.5y = 30

Divide each side by '7.5'.

y = 4

Simplifying

y = 4

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Step-by-step explanation:

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