English, asked by Sanjaybhardwaj, 1 year ago

Simplifiy: (x^6-y^6)

Answers

Answered by sisivelkova03oz5efr
2
1. Rewrite x^6 - y^6 in the form a^2 - b^2, where a = x^3 and b = y^3
(x^3)^2 - (y^3)^2

2. Use Difference of Squares: a^2 - b^2 = (a + b) (a - b)
(x^3 + y^3) (x^3 - y^3)

3. Use sum of Cubes: a^3 + b^3 = (a+b)(a^2-ab+b^2)
((x+y)(x​2​​−(x)(y)+y​2​​))(x​3​​−y​3​​) 

4. Simplify brackets
(x+y)(x​2​​−xy+y​2​​)(x​3​​y​3​​)


5. Use Difference of Cubes: a^3 - b^3 = (a-b) (a^2+ab+b^2)
(x+y) (x^2-xy+y^2) ((x-y)(x^2+(x)(y) + y^2))

6.Simplify brackets
(x+y)(x​2​​−xy+y​2​​)(x−y)(x​2​​+xy+y​2​​)



sisivelkova03oz5efr: Please mark as brainliest
Similar questions