Question

Factorise: a² - 10000b⁴​

Answer 1

Answer:

a² - 10000b⁴ = (a + 100b²) (a - 100b²)

Factorise a² - 10000b⁴

a² - b² = (a + b) (a - b)

Using the Algeric Identity a² - b² = (a + b) (a - b)

Here ,

a = a

b = 100b²

a² - 10000b⁴

= (a)² - (100b²)²

= (a + 100b²) (a - 100b²)

Therefore , a² - 10000b⁴ = (a + 100b²) (a - 100b²)

(a + b)² = a² + b² + 2ab

(a - b)² = a² + b² - 2ab

a² - b² = (a + b) (a - b)

Explanation: