Question

Using the binomial theorem, expand the expression (4 + y) to the power of 4

Answer 1

When raised to the power of 4, the binomial (4 + y) expands to:

`y^4 + 16y^3 + 96y^2 + 256y + 256`

Explanation:

`(4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256`