67,832 views
1 vote
1 vote
Fully factorise: 4x2−25

NEED ANSWER ONLY DON'T SHOW STEPS. URGENT!!!

a. (2x+5)(2x−5)
b. (2x−5)(2x−5)
c. (4x+5)(x−5)
d. (3x+20)(x+5)

User Wandering Zombie
by
2.1k points

2 Answers

24 votes
24 votes

Answer:

The correct choice is option a. (2x+5)(2x−5)

User Pribeiro
by
3.0k points
24 votes
24 votes

Answer:

Option a. (2x+5)(2x-5)

Explanation:

4x2 - 25

Furthermore, this is the difference of squares formula we will use to factor 4x^2-25:

a2 - b2 = (a + b) • (a − b)

As you can see, our problem does not look like the left side of the formula, so first we have to convert our problem to match the left side like so:

4x2 - 25 = (2x)2 - 52

Now that it matches, we can simply plug in 2x for a and 5 for b into the formula to get the factors of 4x^2-25:

(2x + 5) • (2x − 5)

________________________________

I know this is urgent but still I gave you the explanation so that whenever you're confused with questions like that then these steps can help you.

User Tianna
by
3.2k points