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
gizmo_the_mogwai [7]
4 years ago
7

Factor 25x ^2 + 10x + 1. (25x + 1)(x + 1) (5x + 1)(5x - 1) (5x + 1)²

Mathematics
2 answers:
Liula [17]4 years ago
8 0

Answer:

(5x+1)^2

Step-by-step explanation:

Factor 25x ^2 + 10x + 1

To factor this expression we use AC method. multiply 'a' and 'c'

Given expression is ax^2+bx+c

'a' times 'c' is 25 times 1 = 25

Now product is 25 and sum is the coefficient of middle term is 10

5 \cdot 5= 25

5+5=10

Now break the middle term 10x using factors 5 and 5

25x ^2 + 10x + 1

25x ^2 +5x+5x + 1

Group first two terms and last two terms

(25x ^2 +5x)+(5x + 1)

Factor out GCF from each group

5x(5x+1)+1(5x + 1)

FActor out 5x+1

(5x+1)(5x+1)

(5x+1)^2

DIA [1.3K]4 years ago
3 0
The correct answer is:  [C]:  " (5x + 1)² " .
______________________________________
Explanation:
______________________________________
Choice [A] is incorrect: "(25x+1)(x+1) = 25x² +25x +1x +1 = 25x² + 26x + 1 .
______________________________________
Choice [B] is incorrect: "(5x+1)(5x-1)= 25x² -5x+5x -1 = 25x² - 1 .
______________________________________
This leaves us with:  Answer choice:  [C]:  " (5x + 1)² "  ;
                                                       →   as the correct answer.
__________________________________________________
However, let us work through this answer choice:
__________________________________________________
  (5x + 1)² = (5x + 1)(5x + 1) = 25x² + 5x + 5x + 1 ;
                                             = 25x²  + 10x + 1 ; which is the
                                                    expression provided in question;
___________________________________________________
So the correct answer is:  [C]:  " (5x + 1)² " .
___________________________________________________
You might be interested in
Please help me with this
polet [3.4K]
1 , 5
5

7
15

i think this is right
5 0
3 years ago
Equation of y-intercept of 0 with a slope of 1 in slope intercept form
pochemuha

Y=mx+b M equals the slope B equals the y-intercept  So Y=1x+0

4 0
3 years ago
Read 2 more answers
Si consideramos que el planeta Tierra tiene forma esférica y un radio de 6 371 km, ¿cuál es el área total del planeta Tierra?
vovikov84 [41]

Respuesta:

5.101 × 10⁸ km²

Explicación:

Primer paso: Información provista

Radio del planeta Tierra (r): 6371 km

Paso 2: Calcular el área del planeta Tierra

Si suponemos que el planeta Tierra tiene forma esférica, podemos calcular su área (A) usando la siguiente fórmula.

A = 4 × π × r²

A = 4 × π × (6371 km)² = 5.101 × 10⁸ km²

5 0
3 years ago
Solve 4(-2x + 7) = 24 for x
tamaranim1 [39]

Answer:

x = 1/2

Step-by-step explanation:

brainlest please

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*(-2*x+7)-(24)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 4 • (7 - 2x) -  24  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  4 - 8x  =   -4 • (2x - 1)

Equation at the end of step  3  :

 -4 • (2x - 1)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    -4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    2x-1 = 0

Add  1  to both sides of the equation :

                     2x = 1

Divide both sides of the equation by 2:

                    x = 1/2

6 0
4 years ago
Read 2 more answers
What does this mean.
Ray Of Light [21]

Answer:

the smiths family has 2 choices to make , color and style, By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices .2 colors and 4 styles ,4 colors and 2 styles , or 8 colors and 1 style.

Step-by-step explanation:

I just answered the question

4 0
3 years ago
Other questions:
  • The price of the technologies stock was $9.52 yesterday. Today the price rose to $9.65. Find the percentage increase
    13·1 answer
  • Write an expression with with (-1) as its base that will produce a positive product, and explain why your answer
    10·1 answer
  • 5/6x6/7=?? Please answer
    7·1 answer
  • 15. What's the sum of 3/8 and 1/16?<br> 1/6 7/16 4/24 1/4
    14·2 answers
  • 7.98 is 1/10 of what number?
    10·1 answer
  • -3(2x + 8) =<br> A) -6x + 8<br> B) 6x + 24<br> C) -6x + 24<br> D) -6x - 24
    6·1 answer
  • Evaluate the expression if x = - 8 , y = 7 , and z = - 11 . <br><br> - 11 - z =?
    11·1 answer
  • Maria has 64 flowers. She makes 8 bouquets with the flowers. How
    10·2 answers
  • 4 an exterior angle of the triangle. Which of the<br> following is true?
    10·2 answers
  • Price of Plates8What is the slope ofthe line?76Price ($)NW 7 0 0Give your answer asa fraction in simplestform.KO01 2 3 4 5 6 7 8
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!