Factorise:x^4-(x-y)^4
Answers
Answered by
0
Answer:
x⁴ - (x-y)⁴ = [ x+ (x-y)]² [ x -(x-y)]²
...........[ since, (a+b)(a-b) = a²-b²]
= ( x+x-y )² ( x-x+y)²
= (2x-y)² (y)²
= (2x)² -2(2x)(y) + y² (y²)
= y²[ 4x²- 4xy +y²]
= 4x²y² - 4xy³ +y⁴
Answered by
0
Answer:
x⁴ - (x-y)⁴ = [ x+ (x-y)]² [ x -(x-y)]²
...........[ since, (a+b)(a-b) = a²-b²]
= ( x+x-y )² ( x-x+y)²
= (2x-y)² (y)²
= (2x)² -2(2x)(y) + y² (y²)
= y²[ 4x²- 4xy +y²]
= 4x²y² - 4xy³ +y⁴
Similar questions