Question

Expand the binomial (2x + y2)5. The fourth term in the expansion of the binomial (2x + y2)5 is

(if its behind the letter its an exponent.. or behind the ()

Answer 1

you add exponents when multiplied so
(2)^2*x^2+y^2+5
4x^2+y^7
four x to the second power plus y to the 7th power

Answer 2

40x^2y^6

Explanation:

Expand the binomial (2x + y^2)^5

WE need to find the fourth term in the expansion

USe pascals triangle to find the coefficients

1 5 10 10 5 1

`(2x + y^2)^5= 1(2x)^5(y^2)^0 + 5(2x)^4(y^2)^1+10(2x)^3(y^2)^2+10(2x)^2(y^2)^3+ 5(2x)^1(y^2)^4+1(2x)^0(y^2)^1`

`32x^5+80x^4y^2+80x^3y^4+40x^2y^6+10xy^8+y^(10)`

Fourth term in the expansion is

`40x^2y^6`