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
tester [92]
2 years ago
14

Simplify and verify the results for

Mathematics
1 answer:
KatRina [158]2 years ago
3 0

Answer:

21440

Step-by-step explanation:

<h2>Simplify:</h2>
  • (7x³ + 8x² - 3)(x² - 5)

Start by multiplying 7x³ by x² and -5.

  • 7x⁵ - 35x³ + (8x² - 3)(x² - 5)    

Multiply 8x² by x² and -5.

  • 7x⁵ - 35x³ + 8x⁴ - 40x² + (-3)(x² - 5)

Multiply -3 by x² and -5.

  • 7x⁵ - 35x³ + 8x⁴ - 40x² -3x² + 15

Combine like terms together.

  • 7x⁵ - 35x³ + 8x⁴ - 43x² + 15

Rearrange the terms in descending power order.

  • 7x⁵ + 8x⁴ - 35x³ - 43x² + 15  
<h2>Verify (I): </h2>

Substitute x = 5 into the above polynomial.

  • 7(5)⁵ + 8(5)⁴ - 35(5)³ - 43(5)² + 15

Evaluate the exponents first.

  • 7(3125) + 8(625) - 35(125) - 43(25) + 15

Multiply the terms together.

  • 21875 + 5000 - 4375 - 1075 + 15

Combine the terms together.

  • 21440

This is the answer when substituting x = 5 into the simplified expression.

<h2>Verify (II):</h2>

Substitute x = 5 into the expression.

  • [7(5)³ + 8(5)² - 3][(5)² - 5]

Evaluate the exponents first.

  • [7(125) + 8(25) - 3][(25) - 5]

Multiply the terms in the first bracket next.

  • [875 + 200 - 3][25 - 5]

Evaluate the expressions inside the brackets.

  • [1072][20]

Multiply these two terms together.

  • 21440

This is the answer when substituting x = 5 into the original (unsimplified) expression.

You might be interested in
What is the diameter of a cone with height 8 m and volume 150xm3?
Reika [66]
On google, it says 8.463.
6 0
3 years ago
Read 2 more answers
Giving away 33 please help i suck at math
Harman [31]

D. (I used 3.14 as pi so my answer was a little off so I just went with the one closest to my answer)

8 0
2 years ago
Read 2 more answers
Mobile users in India have gone up by 20% percent in a year. There are 540 million mobile users today.
DanielleElmas [232]
432 million, 540 times .20 equals 108, subtract 108 from 540 and you get your answer
7 0
2 years ago
how do I do this? I think I solved for z=24 but i'm not totally sure. I'm confused on how to solve for x and y mostly. We are us
Yuri [45]
The answer would be 21 because its the same length as the other side. 
5 0
3 years ago
What is the value of x in the equation: 3x – 5x + 10 = 36
nika2105 [10]
This is the answerrrrrrrrr

5 0
2 years ago
Read 2 more answers
Other questions:
  • A new car has an MSRP of $23,450. It comes with a premium package priced
    10·1 answer
  • A. Scalene <br> B. Acute<br> C. Equilateral <br> D. Isosceles <br> E. Right<br> F. Obtuse
    11·1 answer
  • Which of the following segment is a diameter of O
    15·2 answers
  • Determine polynomial expressions for the perimeter and the area of the figure shown below
    8·1 answer
  • Anil weighed 95 kg. He went running every day and began to lose mass. After one month his mass was 74 kg. What was the percentag
    8·2 answers
  • I need help please!!
    11·1 answer
  • The table is a linear function k(x). If k(x) = mx+b what is the value of m + b?​
    11·1 answer
  • 21+19=40;19+21=40 a commutative property or associative property
    11·1 answer
  • The graph below shows a line of best fit for data collected on the distance drivers traveled as a function of time.
    6·1 answer
  • Which of the following statements is true? a. A 30 year fixed mortgage will always result in the lowest payment. B. You must hav
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!