yannaWarr8isjan
yannaWarr8isjan yannaWarr8isjan
  • 10-06-2016
  • Mathematics
contestada

Which product is equivalent to 25x2 – 16?

(5x − 4)(5x + 4)
(5x + 8)(5x − 8)
(5x − 4)(5x − 4)
(5x − 8)(5x − 8)

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 11-11-2018
ANSWER
[tex]25 {x}^{2} - 16 =( {5x - 4})(5x + 4)[/tex]

EXPLANATION

We want to factor the expression,

[tex]25 {x}^{2} - 16[/tex]

We can rewrite the expression as

[tex]25 {x}^{2} - 16 = ({5x})^{2} - {4}^{2} [/tex]

The expression is now a difference of two squares,

Recall that,

[tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex]

The expression now becomes;

[tex]25 {x}^{2} - 16 =( {5x - 4})(5x + 4)[/tex]


Therefore the correct answer is option A.
Answer Link
kaytothelow kaytothelow
  • 21-07-2022

Answer:

a

Step-by-step explanation:

Answer Link

Otras preguntas

identify the two pieces of information you need to know the velocity of an object
Find the percent change. 1.) Original: 28 New: 35 2.) Original: 70 New: 42
Why did the early attempts to colonize the americas fail?
Compare and contrast an acronym and an abbreviation
how did the nile river enable egypt to flourish??
Last question i need help on thanks
compare the location of electrons according to Bohr's theory and to the current atomic theory
The Articles of Confederation were criticized for being weak, particularly because Congress was denied the power to collect taxes, regulate interstate commerce,
What does it mean for a group to "peaceably assemble" and how is this significant in a democratic society?
Write an equation for 14 groups of 16