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
sladkih [1.3K]
3 years ago
9

Given the expression: 3x^10 − 48x^2

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0

Answer:

Part A: 3x²(x⁸ - 16)

Part B: 3x²(x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)  

Step-by-step explanation:

Part A. Factor out the greatest common factor

3x¹⁰ - 48 x²

= 3x²(x⁸ - 16)

Part B. Factor the expression completely

(i) Factor the difference of squares

x⁸ - 16

= (x⁴ - 4)(x⁴ + 4)

= (x² - 2)(x² + 2)(x⁴ + 4)

3x¹⁰ - 48 x² = 3x²(x² - 2)(x² + 2)(x⁴ + 4)

(ii) Factor the sum of squares

Use the Sophie Germain Identity to factor x⁴ + 4.

x⁴ + 4

= (x²)² + 2²           (Still a sum of squares)

= (x² + 2)² - 4x²    (Factor this as a difference of squares)

= (x² + 2 - 2x)(x² + 2 + 2x)

3x¹⁰ - 48 x² = 3x² (x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)

You might be interested in
(( all - Same )) ----- Quadrilaterals are polygons
Marina CMI [18]

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
2. Si 3x + 2 = y, entonces (3x + 2) + 5 = y + 5*
jeyben [28]

Answer:

26.9y2

Step-by-step explanation:

8 0
3 years ago
You and your friend are standing back-to-back. Your friend runs 16 feet forward and then 12 feet right. At the same time, you ru
miv72 [106K]

I threw the baseball 7 feet

3 0
2 years ago
Beatrice's house is assessed at $102,000 and her property tax rate is 3.6%. How much are her annual property taxes?
horrorfan [7]
<span>$102,000 x .036 =$3,672

answer
</span>her annual property taxes = $3,672
7 0
3 years ago
Read 2 more answers
8 3/4 divided by 3 1/2
spayn [35]

Answer:

2\frac{1}{2}

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • A fork costs £8.95 . Jay buys seven forks . How much does he spend?​
    8·2 answers
  • Which system of inequalities has a lot of solution?
    15·2 answers
  • Anita is making a curtain to surround a table. she bought 3 1/4 yards of fabric. her total cpst was 13$. what was the cost per y
    9·1 answer
  • In a recent year, certain colleges and universities received about $268 million in aid. Ten years later, they received about $94
    8·2 answers
  • 10
    9·1 answer
  • Find 10-3. write the subtraction fact two ways.
    9·1 answer
  • Triangle A B C is reflected over side A C and then is dilated to form smaller triangle D E C. Angles B C A and D C E are right a
    14·1 answer
  • Farmer gray has 30 flowerpots. He plants 10 seeds in each pot. How many seeds does he plant?
    6·2 answers
  • What is 8÷1/5,multiply 8 by?​
    10·1 answer
  • If m1=2x° and m3=3x° what is m1
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!