Question

625x²-256y² factorise the following ​

Answer 1

Answer:

(25x - 16y)(25x + 16y)

Step-by-step explanation:

625x^2 - 256y^2

(25x)^2 - (16y)^2

(using identity a^2 - b^2 = (a - b)(a + b)

(25x - 16y)(25x + 16y)

The factors are 25x - 16y and 25x + 16y

Answer 2

(25y+16x) (25y-16x)

Step-by-step explanation:

Given: Factorise:-

625x² - 256y²

As we know that 625 is the square of 25 and 256 is the square of 16. So,

We can write it as :

625x² - 256y²

= (25x) ² - (16y) ²

Using identity:

[a²-b² = (a+b) (a-b)]

= 625x²- 256y²

= (25x)² - (16y)²

Solution = (25x+16y) (25x-16y)