Question

factorise 81 Y to the power 4 minus Z to the power 4​

Answer 1

(81y)⁴ - (z)⁴

43,046,721y⁴ - z⁴

it's your answer....

Answer 2

answer

9y^2+z^2[(3y+z)(3y-z)]

Explanation

Given

81y^4-z^4

making this a square

(9y^2)^2 - (z^2) ^2

this is in the form of a^2 - b^2

( = a+b .a-b )

[(9y^2) +(z^2)] [(9y^2) -(z^2) ]

[(9y^2) +(z^2)] [(3y)^2 - (z^2) ] just make (9y)^2 into (3x)^2 this again is in the form of a^2 - b^2

hence answer is

9y^2+z^2[(3y+z)(3y-z)]