Answer:
(2x - 7y)(2x + 7y)
Step-by-step explanation:
4x^2-49y^2 is the difference of two squares: (2x)² - (7y)².
This is a case of "special products and factoring."
Since a² - b² = (a - b)(a + b),
(2x)² - (7y)² = (2x - 7y)(2x + 7y)
Solution:
The given Equation is 4x² - 49y²
Spilt it in the form of a² - b² :
☞4x² - 49y²
☞ (2x)² - (7y)²
☞ ( 2x + 7)(2x -7 )
More information: { Identity Used }
☞ a² - b² = (a + b)(a-b)
☞ (a + b)² = a² + b² + 2ab
