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
Anvisha [2.4K]
3 years ago
6

Factor the expression.

Mathematics
2 answers:
Kamila [148]3 years ago
7 0

Answer:

5(5k²+6)(4k-3)

Step-by-step explanation:

100k³ - 75k² + 120k - 90

Take 5 common above:

= 5(20k³ - 15k² + 24k - 18) ------- eq1

First let simplify 20k³ - 15k² + 24k - 18

= (20k³ - 15k²) + (24k - 18) ---------eq2

Factor out 6 from 24k - 18 :

6(4k-3)

Factor out 5k² from (20k³ - 15k²):

5k²(4k -3)

eq2 becomes:   = 6(4k-3) + 5k²(4k -3)

Factor out common term 4k-3

(6+ 5k²)(4k -3) or (5k²+6)(4k-3)

Thus eq1 becomes:

5(5k²+6)(4k -3)

vova2212 [387]3 years ago
4 0

Answer:

The correct answer is Option 1. 5(5k² + 6)(4k - 3)

Step-by-step explanation:

The given expression is,

100k³ - 75k² + 120k - 90

<u>Factor the expression</u>

100k³ - 75k² + 120k - 90

= 5[20k³ - 15k² + 24k - 18]   [Taking 5 as common factor]

= 5[ 5k²(4k - 3) + 6(4k - 3) ]

= 5[(4k - 3)(5k² + 6)]

= 5[(5k² + 6) (4k - 3)]

Therefore the correct answer is Option 1. 5(5k² + 6)(4k - 3)

You might be interested in
PLEASE, PLEASE IM BEGGING YOU
lubasha [3.4K]

Answer:

d

Step-by-step explanation:

hope this helped!!!!!

5 0
2 years ago
Please help question in the picture
zubka84 [21]
Its 56 I DID this you could only multiple the straight sides
7 0
3 years ago
Please help with #1 and explain your answers! Thank you
sashaice [31]

1a) False. A square is never a trapezoid. A trapezoid has only one pair of parallel sides while the other set of opposite sides are not parallel. Contrast this with a square which has 2 pairs of parallel opposite sides.

1b) False. A rhombus is only a rectangle when the figure is also a square. A square is essentially a rhombus and a rectangle at the same time. If you had a Venn Diagram, then the circle region "rectangle" and the circle region "rhombus" overlap to form the region for "square". If the statement said "sometimes" instead of "always", then the statement would be true.

1c) False. Any rhombus is a parallelogram. This can be proven by dividing up the rhombus into triangles, and then proving the triangles to be congruent (using SSS), then you use CPCTC to show that the alternate interior angles are congruent. Finally, this would lead to the pairs of opposite sides being parallel through the converse of the alternate interior angle theorem. Changing the "never" to "always" will make the original statement to be true. Keep in mind that not all parallelograms are a rhombus.

8 0
3 years ago
Read 2 more answers
Calculate the percentage loss if an item is bought for $400 and sold for $364
daser333 [38]
The answer to the percentage loss of an item would be 91 percent
3 0
2 years ago
What is the coefficient of 8x
IrinaK [193]

' 8 ' is the numerical coefficient.

' x ' is the literal coefficient.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following points lies in Quadrant II?
    8·2 answers
  • A company offered one half of its employees a bonus if the production of light bulbs increased by 20%. The other half of the emp
    8·1 answer
  • Answer please im begging you QwQ
    12·1 answer
  • travis heart beats 17 times in 15 seconds. If he maintains this rate. how many times will it beat in 1min​
    13·1 answer
  • Find the m &lt; t rounded to the nearest degree
    7·1 answer
  • Joe goes running in the park. He runs 3 miles and does it in 42 minutes. How many minutes doe it take him to run a mile?​
    9·2 answers
  • Directions: Chose the correct possessive form of the noun.
    9·2 answers
  • Georgia knows that in the relationship between two
    12·1 answer
  • Each box plot represents the temperatures in a city over a year. Amya wants to live in a climate with the least variability in t
    12·1 answer
  • You can find the derivative of the inverse function by differentiating the inverse explicitly, or by using the formula:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!