Expand (3x + y2)5.

Question

Expand (3x + y²)⁵.

 (Simplify your answer completely.)

 

Answer 1

C(5,0) (3x)^5(y^2)^0 + C(5,1)(3x)^4(y^2)^1 + C(5,2) (3x)^3 (y^2)^2 + C(5,3) (3x)^2 (y^2)^3 + C(5,4) (3x)^1 (y^2)^4 + C(5,5) (3x)^0(y^2)^5

243x^5 + 405x^4y^2 + 270x^3y^4 + 90x^2y^6 + 15xy^8 + y^10

Answer 2

Hello Isaiah

When. you refer fifth row of Pascal's triangle you will get

1 5 10. 10. 5. 1

So (3x + y²)⁵ = (3x)^5 + 5(3x)^4*y^2 +10(3x)^3*(y^2)^2 + 10(3x)^2*(y^2)^3 + 5(3x)(y^2)^4 + (y^2)^5

243x^5 + 405x^4*y^2 +270x^3*y^4 +90x^2*y^6 +15x*y^8 +y^10

hope that helps