Question

Expand the following binomial:
${(3x+2y)}^4$

Answer 1

On using binomial expansion, we get

$(3x+2y{)}^4=(3x{)}^4{+}^4{C}_1\left(3x{)}^3\right(2y\left){+}^4{C}_2\right(3x{)}^2\left(2y{)}^2{+}^4{C}_3\right(3x\left)\right(2y{)}^3{+}^4{C}_4(2y{)}^4$

On solving we get

$(3x+2y{)}^4=81x^4+216x^{3}y+216x^2{y}^2+96x{y}^3+16y^4$