Question

Factorize 9x2-6b2x-(a4-b4) How do we split -6b2x

Answer 1

Step-by-step explanation:

9x²-6b²x-(a^4-b^4)=0

9x²-3(2b²)x-(a^4-b^4)=0

9x²-3(b²-a²+b²+a²)x+(b^4-a^4)=0

9x²-3(b²-a²)x-3(b²+a²)x+(b²+a²)(b²-a²)=0

3x(3x-b²+a²)-(b²+a²)(3x-b²+a²)=0

(3x-b²-a²)(3x-b²+a²)=0