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DanielleElmas [232]
3 years ago
6

(2t-3)^3, can you help me?, please?

Mathematics
2 answers:
grandymaker [24]3 years ago
6 0

Answer:

8t^3-36t^2+54t-27

Step-by-step explanation:

(2t-3)^3

(2t-3)(2t-3)(2t-3)

Multiply the first two terms

(4t^2 -6t -6t+9)(2t-3)

Combine like terms

( 4t^2 -12t +9) ( 2t-3)

Multiply

2t*( 4t^2 -12t +9) -3 ( 4t^2 -12t +9)

Distribute

8t^3 -24t^2 +18t-12t^2 +36t-27

Combine like terms

8t^3-36t^2+54t-27

MissTica3 years ago
6 0

Answer:

8t³ - 36t² + 54t - 27

Step-by-step explanation:

(2t - 3)³

(2t - 3)(2t - 3)(2t - 3)

FOIL the first two binomials - first - outer - inner - last

(2t - 3)(2t - 3)

= 4t² - 6t - 6t + 9

= 4t² - 12t + 9

multiply this polynomial by the last binomial

(4t² - 12t + 9)(2t - 3)

distribute 2t

2t • 4t² = 8t³

2t • -12t = -24t²

2t • 9 = 18t

distribute -3

-3 • 4t² = -12t²

-3 • -12t = 36t

-3 • 9 = -27

combine

8t³ - 24t² + 18t - 12t² + 36t - 27

simplify

8t³ - 36t² + 54t - 27

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I'll sing out

Step-by-step explanation:

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3 years ago
Question 1 (1 point)
alisha [4.7K]

Answer:

See below

Step-by-step explanation:

1) x=2-1

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5 0
2 years ago
Marsha deposited 7,500 into a savings account 3 years ago. The simple interest rate is 5%. How much money did Marsha earn in int
Ludmilka [50]

Answer:

$1,125 in interest.

Step-by-step explanation:

We need the formula of I = P * i * t where P is the total principle, i is the rate of interest per year, and t is the total time in years.

So we have

P = $7,500

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8 0
2 years ago
I really need help with this please
Tcecarenko [31]

Answer:

3x

Step-by-step explanation:

a = 4x - 4

The perimeter is equal to 14x + 8 but it is also equal to 2a + 2b, so

14x + 8 = 2(4x - 4) + 2b

14x + 8 = 8x - 8 + 2b

Let's move 2b to the other side of the equation, we get:

14x + 8 - 2b = 8x - 8

Now, let's move 14x + 8 to the other side too to find what -2b is equal to

-2b = 8x - 14x + 8 - 8

Gonna simplify:

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Now, let's multiply both sides with -1 to find what 2b is equal to

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4 0
2 years ago
Solve for x in the equation C = 8.5x + 6y. Show all work.
8_murik_8 [283]
First we move 6y to the other side. To do this, you subtract 6y on both sides

C - 6y = 8.5x + 6y - 6y

C - 6y = 8.5x

No divide both sides by 8.5 to isolate x

\frac{C-6y}{8.5} =  \frac{8.5}{8.5} x =\frac{C-6y}{8.5} =x
3 0
3 years ago
Read 2 more answers
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