Simplifiy: (x^6-y^6)
Answers
Answered by
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)(x2−(x)(y)+y2))(x3−y3)
4. Simplify brackets
(x+y)(x2−xy+y2)(x3−y3)
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)(x2−xy+y2)(x−y)(x2+xy+y2)
(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)(x2−(x)(y)+y2))(x3−y3)
4. Simplify brackets
(x+y)(x2−xy+y2)(x3−y3)
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)(x2−xy+y2)(x−y)(x2+xy+y2)
sisivelkova03oz5efr:
Please mark as brainliest
Similar questions