Question

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

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

Answer:

40x^2y^6

Step-by-step 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

$40x^2y^6$