Question

simplify the following expression: (x+3)(x^(4)-4x^(2)+5) Show your work and write your simplified expression

Answer 1

Each term in the second factor is multiplied by each term in the first factor, called the distributive law

x(
`x^(4)` - 4x² + 5 ) + 3(
`x^(4)` - 4x² + 5)

=
`x^(5)` - 4x³ + 5x + 3
`x^(4)` - 12x² + 15

=
`x^(5)` + 3
`x^(4)` - 4x³ - 12x² + 5x + 15 ← in standard form