Question

Factorise 16(x+y)^4 -625(x-y)^4

Answer 1

⭐Solution⭐

➡Given here

16(x+y)⁴ - 625(x-y)⁴

= [4(x+y)²]² - [25(x-y)²]²

✔We know,

(a²-b²)= (a+b)(a-b)

so,

= [4(x+y)²+25(x-y)²][4(x+y)²-25(x-y)²]

= [4 (x²+y²+2xy)+25(x²+y²-2xy)] [ 4(x²+y²+2xy)-25(x²+y²-2xy)]

= [ 29x²+29y²-42xy] [-21x²-21y²+58xy]

✔Thats Answer✨

Answer 2

Ans also =(29x^2+29y^2-42xy)(7x-3y)(-3x+7y)