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
Ipatiy [6.2K]
3 years ago
5

What is the factored form of the binomial expansion 125x^3 + 525x^2 + 735x + 343?

Mathematics
2 answers:
lutik1710 [3]3 years ago
5 0

Answer:

(5x+7)^3

Step-by-step explanation:

(a+b)^3=a^3+3a^2b+3ab^2+b^3

  • 125x^3 + 525x^2 + 735x + 343=
  • (5x)^3+3*(5x)^2*7+3*5x*7^2+7^3=
  • (5x+7)^3
yarga [219]3 years ago
4 0

Answer:

Step-by-step explanation:

1. regroup terms

125x^3+343+525x^2+735x

2. Rewrite 125x^3 as  (5x)^3 and 343 as 7^3

(5x)^3+7^3+525x^2+735x

3. Since both terms are perfect cubes, factor using the sum of cubes formula, a^3+b^3 = (a+b)(a^2-ab+b^2), where a=5x and b=7

(5x+7)((5x)^2-(7)(5x)+(7)^2)+525x^2+735x

(5x+7)(25x^2-35x+49)+525x^2+735x

4. Factor 105x out of 525x^2+735x

(5x+7)(25x^2-35x+49)+105x(5x+7)

5. Regroup

(5x+7)(25x^2-35x+49+105x)

(5x+7)(25x^2+70x+49)

6. Factor again

(5x+7)(5x+7)^2

(5x+7)^3

You might be interested in
When Rachel puts gas in her car, she records the distance that she has driven since her last
Free_Kalibri [48]

g=0.04 times d

Step-by-step explanation:

if you multiply 0.04 with every number under the d column then you’ll get the outcome of each number under g

6 0
3 years ago
darryl spent $276 on books. math books cost $21 and English books cost $30. if he bought a total of 11 books how many of each ki
nata0808 [166]
6 math books would be 126
5 English books would be 150
126+150=276 
6 0
3 years ago
When estimating a job to bid, a contractor’s estimator first determines the actual cost of labor using the function L(h) = 28.75
dybincka [34]

Answer:

  M(h) = 73.18025h

Step-by-step explanation:

The composite function is ...

  M(B(L(h))) = M(B(28.75h)) = M(1.78(28.75h)) = M(51.175h)

  = 1.43(51.175h) = 73.18025h

The composite function is ...

  M(h) = M(B(L(h))) = 73.18025h

7 0
3 years ago
This box plot shows information about the marks scored in a test.
aliina [53]
Since 120 students gained less than 70, and 70 is the upper quartile, 120 people are in the 75% of all the students so we need to find the total number of students.
we need to multiply 0.75 (75%) by something to get 120. which is 160 (the total number of all students).
and since 48 is the median score, find 50% of 160 which is 80!
hope this helps :)
4 0
2 years ago
Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W’K’R’P’. Which rule d
saw5 [17]

The rule used to describe this transformation is (x, y)→(x - 4, y + 5)

<h3>Transformation</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are<em> rotation, reflection, translation and dilation.</em>

If a point A(x, y) is translated a units left and b units up. the new point is at A'(x - a, y + b)

Given Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W’K’R’P’. The rule is given by:

(x, y)→(x - 4, y + 5)

The rule used to describe this transformation is (x, y)→(x - 4, y + 5)

Find out more on Transformation at: brainly.com/question/1462871

3 0
2 years ago
Other questions:
  • 3(5z-7)-2(9z-11)=4(8z-13)-17 solve the equation <br>​
    8·1 answer
  • The value of 3 in 3,456 is what times the value of 3 in 546,300
    6·2 answers
  • What is the product of 7/16 and -6/13 I will make you the brainlest
    6·1 answer
  • A store marks up a laptop 150% from its original price of $299. There is a sale for 25% off all items in the store. What is the
    12·1 answer
  • 3(2x) + 4y(5) + 4.2.2
    7·1 answer
  • Find the missing angles
    12·1 answer
  • Pls answer this question and dont troll either or ur getting reported
    6·2 answers
  • Which shapes have exactly one line of symmetry?
    14·2 answers
  • Radious is given by the function c(R)=5.25r+125
    10·1 answer
  • A circle has a radius r which is a positive integer. If the circumference of the circle divided by the area of the circle is a p
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!