Question

Factor completely 25x2 − 144

(5x − 12)(5x − 12)
(5x − 12)(5x + 12)
(12x − 5)(12x − 5)
(12x − 5)(12x + 5)

Answer 1

25x^2 − 144

(5x - 12) (5x + 12)

Answer 2

Completely factor of
`= 25x^(2)- 144` is (5x-12)(5x + 12) .

Explanation:

As the expression is given in the equation be as follow .

`= 25x^(2)- 144`

As

12² = 144

5² = 25

By using the formula

(a² - b²) = (a - b) (a + b)

Now
`= 25x^(2)- 144` can be expressed as.

`= (5x)^(2)- 144`

By using the formula mentioned above

= (5x-12)(5x + 12)

Therefore completely factor of
`= 25x^(2)- 144` is (5x-12)(5x + 12) .