Question

(3x+4y)⁴ - x⁴

please explain and give the answer. I will mark as brainliest to the one who explains​

Answer 1

I don't think no please tell me

Answer 2

Answer:

(3x+4y)⁴ - x⁴ = [ 10x² + 16y² + 24xy ]  (4x + 4y) (2x + 4y)

Step-by-step explanation:

(3x+4y)⁴ - x⁴ = [ (3x +4y)² ]² - (x²)²

Using a² - b² = (a - b)(a + b)

[ (3x +4y)² ]² - (x²)² = [ (3x +4y)² + x² ] [  (3x +4y)² - x² ]

⇒  [ (3x +4y)² + x² ]  [ (3x + 4y) + x ] [ (3x + 4y) - x ]

⇒  [ (3x +4y)² + x² ]   (4x + 4y) (2x + 4y)

⇒  [ 9x² + 16y² + 24xy + x² ]  (4x + 4y) (2x + 4y)

⇒  [ 10x² + 16y² + 24xy ]  (4x + 4y) (2x + 4y)