§ 004
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
= 6C0(4X)^6(-1)^0 + 6C1(4X)^5(-1)^1 + 6C2(4X)^4(-1)^2 + 6C3(4X)^3(-1)^3 + 6C4(4X)^2(-1)^4 + 6C5(4X)^1(-1)^5 + 6C6(4X)^0(-1)^6
= (1)(4X^6)(1) + (6)(4X^5)(-1) + (15)(4X^4)(1) + (20)(4X^3)(-1) + (15)(4X^2)(1) + (6)(4X^1)(-1) + (1)(1)(1)
= 4X^6 - 24X^5 + 60X^4 - 80X^3 + 60X^2 - 24X + 1
Yht...
= 4C0(8X)^4(Y)^0 + 4C1(8X)^3(Y)^1 + 4C2(8X)^2(Y)^2 + 4C3(8X)^1(Y)^3 + 4C4(8X)^0(Y)^4
= (1)(8X^4)(1) + (4)(8X^3)(Y) + (6)(8X^2)(Y^2) + (4)(8X)(Y^3) + (1)(1)(Y64)
= 8X^4 + 32X^3Y + 48X^2Y^2 + 32XY^3 + Y^4
... Muugc kuut. Shiva, ed'c fyo duu myda vun drec. Eh, whatever. By the way, thanks for the help this weekend, Makubex. You're amazing~
Gippal. ♥ You're taking me out tomorrow, m'kay?
(OOC; ... This is really just my Algebra homework. It looks a lot more complicated than it is. :| And also, pretend this was posted much, much later. After all, she and Gippal went to the club~)
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
= 6C0(4X)^6(-1)^0 + 6C1(4X)^5(-1)^1 + 6C2(4X)^4(-1)^2 + 6C3(4X)^3(-1)^3 + 6C4(4X)^2(-1)^4 + 6C5(4X)^1(-1)^5 + 6C6(4X)^0(-1)^6
= (1)(4X^6)(1) + (6)(4X^5)(-1) + (15)(4X^4)(1) + (20)(4X^3)(-1) + (15)(4X^2)(1) + (6)(4X^1)(-1) + (1)(1)(1)
= 4X^6 - 24X^5 + 60X^4 - 80X^3 + 60X^2 - 24X + 1
Yht...
= 4C0(8X)^4(Y)^0 + 4C1(8X)^3(Y)^1 + 4C2(8X)^2(Y)^2 + 4C3(8X)^1(Y)^3 + 4C4(8X)^0(Y)^4
= (1)(8X^4)(1) + (4)(8X^3)(Y) + (6)(8X^2)(Y^2) + (4)(8X)(Y^3) + (1)(1)(Y64)
= 8X^4 + 32X^3Y + 48X^2Y^2 + 32XY^3 + Y^4
... Muugc kuut. Shiva, ed'c fyo duu myda vun drec. Eh, whatever. By the way, thanks for the help this weekend, Makubex. You're amazing~
Gippal. ♥ You're taking me out tomorrow, m'kay?
(OOC; ... This is really just my Algebra homework. It looks a lot more complicated than it is. :| And also, pretend this was posted much, much later. After all, she and Gippal went to the club~)