paytonsewell paytonsewell
  • 03-03-2020
  • Mathematics
contestada

What is the factorization of the expression below 16x^2-49

Respuesta :

Danboghiu66
Danboghiu66 Danboghiu66
  • 03-03-2020

16x²-49=

(4x)²-7²=

(4x-7)(4x+7)

Here I have used the expression:

a²-b²=(a-b)(a+b)

Answer Link
marcthemathtutor
marcthemathtutor marcthemathtutor
  • 03-03-2020

Answer:

(4x-7)(4x+7)

Step-by-step explanation:

16x² - 49

realize that 16 = 4² and 49 = 7²

Substituting these values into the expression,

16x² - 49

= 4²x² - 7²

= (4x)² - 7²

recall the algebra property :  a² - b² = (a+b)(a-b)

Applying this to our expression:

(4x)² - 7²

= (4x-7)(4x+7)     Answer

Answer Link

Otras preguntas

Stupas were best described as what
Which of the following is not a basic economic goal?
what is the quotient of a number a and a number c
What is a independent cause?
Use the rules for long division to divide 262 by 9. A. 30 B. 29r1 C. 28 D. 29
you are given the steps for using a compass and a straightedge to construct a line perpendicular to a given line through a point not lying on the given line. ar
Earth rotates around the sun. true false
True or false: you must always yield the right-of-way to persons who are blind.
Driving under the influence of anger can be as dangerous as driving under the influence of alcohol. true or false.
9.even if you are not intoxicated and you are under the age of 21 and have any detectable amount of alcohol in your system while operating a motor vehicle, you