expand:-
( x+3 )^5................
Answers
Answered by
2
(x + 3)⁵
Using Pascal triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
(a + b)⁵ = (a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵)
Therefore,
(x + 3)⁵
= (x⁵ + 5 . x⁴ . 3 + 10 . x³ . 3² + 10 . x² . 3³ + 5 . x . 3⁴ + 3⁵)
= x⁵ + 15x⁴ + 90x³ + 270x² + 405x + 243
Using Pascal triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
(a + b)⁵ = (a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵)
Therefore,
(x + 3)⁵
= (x⁵ + 5 . x⁴ . 3 + 10 . x³ . 3² + 10 . x² . 3³ + 5 . x . 3⁴ + 3⁵)
= x⁵ + 15x⁴ + 90x³ + 270x² + 405x + 243
HarmillonSingh:
bro
you're welcome
i appreciate ur hard work
keep it up
:)
please report a correction for my answer
thanks :)
Similar questions