Question

how do you do these types of questions? Could someone please show me how to do one of these examples?? Tysm :) the questions are in the pic btw

Answer 1

j)

`(x + 8)/(15) * \frac{10}{ {x}^(3) + 8 {x}^(2) } =`

`(x + 8)/(15) * \frac{10}{{x}^(2) (x + 8)} = \frac{2}{3 {x}^(2) }`

k)

`(4)/(x - 2) * \frac{ {x}^(2) - 2x}{8} =`

`(4)/(x - 2) * (x(x - 2))/(8) = (x)/(2)`

l)

`\frac{ {x}^(2) + 5x + 6 }{4} * (2)/(x + 2) =`

`((x + 2)(x + 3))/(4) * (2)/(x + 2) = (x + 3)/(2)`

m)

`\frac{ {x}^(2) + 2x - 8 }{ {x}^(2) + 5x + 6 } * (x + 2)/(x + 4) =`

`((x + 4)(x - 2))/((x + 2)(x + 3)) * (x + 2)/(x + 4) = (x - 2)/(x + 3)`

n)

`\frac{ {x}^(2) + x - 6 }{ {x}^(2) - 25} * \frac{ {x}^(2) + 10x + 25}{ {x}^(2) - 4 } =`

`((x - 3)(x + 2))/((x - 5)(x + 5)) * ((x + 5)(x + 5))/((x - 2)(x + 2)) = ((x + 3)(x + 5))/((x - 5)(x - 2))`

o)

`\frac{3 {x}^(2) + 8x - 3}{25} * \frac{30}{6 {x}^(2) + 13x - 5 } =`

`((3x - 1)(x + 3))/(25) * (30)/((3x - 1)(2x + 5)) = (6(x + 3))/(5(2x + 5))`