Jmfernin0611viz
Answered

using the pascal's triangle determine the value of the binomial (2x+5y) to the power of 4 in the 2nd and 4th term.

Sagot :

Cheahjimmyviz
pascal triangle   (a+b)⁴ = a⁴ + 4a³b+ 6a²b² +4a b³ + b⁴
(2x+5y)⁴ = (2x)⁴+4(2x)³5y+ 6(2x)²(5y)² + 4.2x(5y)³+ (5y)⁴
   16x⁴+160x³y+600x²y²+1000xy³+ 625y⁴
the 2nd term is  160x³y
the  4th term is 1000xy³