Question

Expand the following:
a) x(x + 2)
b) x(2x - 5)
c) 2x(3x + 4)
d) 6x(x - 2)

Answer 1

`a. \: {x}^(2) + 2`

`b. \: 2 {x}^(2) - 5x`

`c. \: 6 {x}^(2) + 8x`

`d. \: 6 {x}^(2) - 12x`

solution,

`a. \: x(x + 2) \\ \: \: = x * x + 2 * x \\ \: \: = {x}^(2) + 2x`

`b . \: x(2x - 5) \\ \: = x * 2x - x * 5 \\ \: \: = 2 {x}^(2) - 5x`

`c. \: 2x(3x + 4) \\ \: = 2x * 3x + 2x * 4 \\ \: \: = 6 {x}^(2) + 8x`

`d. \: 6x(x - 2) \\ \: \: = 6x * x - 6x * 2 \\ \: \: = 6 {x}^(2) - 12x`

Hope this helps...

Good luck on your assignment..