1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marysya12 [62]
2 years ago
6

Factor the following expression. Simplify your answer. 5t( -2t + 3)^2/3 +2( -2t + 3)^5/3

Mathematics
1 answer:
4vir4ik [10]2 years ago
7 0

Answer:

(t+6)(-2t+3)^{\frac{2}{3}}

Step-by-step explanation:

\textsf{Given expression}:

5t(-2t+3)^{\frac{2}{3}}+2(-2t+3)^{\frac{5}{3}}

\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:

\implies 5t(-2t+3)^{\frac{2}{3}}+2(-2t+3)^{\frac{3+2}{3}}

\implies 5t(-2t+3)^{\frac{2}{3}}+2(-2t+3)^{\frac{3}{3}}(-2t+3)^{\frac{2}{3}}

\implies 5t(-2t+3)^{\frac{2}{3}}+2(-2t+3)(-2t+3)^{\frac{2}{3}}

\textsf{Factor out common term }(-2t+3)^{\frac{2}{3}}:

\implies (-2t+3)^{\frac{2}{3}}(5t+2(-2t+3))

\textsf{Simplify}:

\implies (-2t+3)^{\frac{2}{3}}(5t-4t+6)

\implies (-2t+3)^{\frac{2}{3}}(t+6)

\implies (t+6)(-2t+3)^{\frac{2}{3}}

You might be interested in
HELP ITS SOO HARD also can you please explain how to get the answer to where a dummy can understand cuz well I’m a dummy
Ksenya-84 [330]

Answer:

244.92 square inches

Step-by-step explanation:

You just have to fill in the formula with the information they gave you.

They gave you the diameter for base circle so you divide that number in half to get the radius which is what you need for the formula represent as "r".

r=3

h=10

and you know pi is 3.14

so just plug in the numbers.

SA=2x3.14x3^2+2x3.14x3x10

SA=6.28x9+6.28x30

SA=56.52+188.4

SA=244.92

7 0
3 years ago
Help me find the slope please guys<br> Im struggling
tatuchka [14]

Answer:

negative 1

Step-by-step explanation:

\frac{y2 - y1}{x2 - x1}  = m

the 2 points: (-2,0), (-3,1)

(1-0)/(-3+2)

=-1

m=-1

brainliest please

7 0
3 years ago
Which graph correctly represents 5/2x-y&lt; 3
kompoz [17]
5/2x - y < 3
Add y
5/2x < 3 + y
Subtract 3
5/2x - 3 < y
y > 5/2x - 3
Graph "5/2x - 3" and shade the area that is above it
5 0
3 years ago
What is the additive inverse of 22?<br><br> 1. 22<br> 2. -22<br> 3. -(-|-22|)<br> 4. -(-(-(-22)))
Mashutka [201]

Answer:

the additive inverse of 22 is -22

6 0
3 years ago
Read 2 more answers
What are the multiples of 88
NARA [144]
88 * 2 = 176 ;
88 * 3 = 264 ;
88 * 4 = 362 ;
...................

8 0
2 years ago
Other questions:
  • What is the volume of a cube with a side length that measures 6 cm?
    14·1 answer
  • 20/25= what percent (include explanation)
    11·1 answer
  • A 6-sided die is rolled three times. What is the probability of rolling a 4 each time?
    13·1 answer
  • 7 less than 4 times a number equals 13 ​
    10·1 answer
  • How many six-digit odd numbers are possible if the leftmost digit cannot be zero
    10·1 answer
  • X+(2x+3)+.3(2x+3)=38.10<br> What’s the answer to this question?
    9·2 answers
  • A right rectangular prism has a length of 6 cm, a width of 8 cm, and a height of 4 cm. The dimensions of the prism are halved.
    11·2 answers
  • Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
    7·1 answer
  • PLEASE HELP ME WITH MY HOMEWORK I WILL GIVE Brainliest !!!!!
    6·2 answers
  • The peak current passing through an inductor is 2. 0 aa. part a what is the peak current if the peak emf e0e0 is doubled?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!