Question

Factorise the following
4x²-25y²

Answer 1

= (2x + 5y) * (2x - 5y)

Explanation:

4x²-25y²
= (2x)² - (5y)²
= (2x + 5y) * (2x - 5y)

Answer 2

`\huge\boxed{\sf (2x + 5y)(2x - 5y)}`

Explanation:

Given expression:

`4x^2-25y^2`

Both of the terms are perfect squares.

`(2x)^2-(5y)^2`

Using formula: a² - b² = (a + b)(a - b)

= (2x + 5y)(2x - 5y)

`\rule[225]{225}{2}`