Factorise 9a^2 -(a^2-4)^2
Answers
Answered by
5
9a² - (a² - 4)²
= (3a)² - (a²-4)²
Using a² - b² = (a-b)(a+b)
= [3a - (a² - 2²)] [3a + (a² - 2²)]
= (3a - a² + 2²) [3a + (a-2)(a+2)]
= [3a + (2² - a²)] [3a + (a-2)(a+2)]
= [3a + (2-a)(2+a)] [3a + (a-2)(a+2)]
= (3a)² - (a²-4)²
Using a² - b² = (a-b)(a+b)
= [3a - (a² - 2²)] [3a + (a² - 2²)]
= (3a - a² + 2²) [3a + (a-2)(a+2)]
= [3a + (2² - a²)] [3a + (a-2)(a+2)]
= [3a + (2-a)(2+a)] [3a + (a-2)(a+2)]
abbs98:
not the answer
Similar questions