Question

Multiply.

2(x+3) 4x(x+2)
x(x-1) 10(x+3)
Enter your answer, in simplest
form, in the box.

Answer 1

`\sf (4x + 8)/(5x - 5)`

Explanation:

`(2(x+3))/(x(x-1)) * (4x(x+2))/(10(x+3))`

Simplify by removing the brackets
`\frac{2x + 6}{ {x}^(2) - x} * \frac{4 {x}^(2) + 8x}{10x + 30}`

Multiply the two numerators and the two denominator

`\frac{(2x + 6) \: * \:(4 {x}^(2) + 8x)}{( {x}^(2) - x) * \: (10x + 30)}`

Multiply the values

`\frac{8 {x}^(3) + 40 {x}^(2) + 48x }{10 {x}^(3) + 20 {x}^(2) - 30x}`

Simplifying further down

`(4x + 8)/(5x - 5)`