Question

Use the work shown below to find the simplified product.

StartFraction 25 x squared Over 2 x + 6 EndFraction times StartFraction 2 Over 5 x EndFraction


StartFraction 25 x squared Over 2 (x + 3) EndFraction times StartFraction 2 Over 5 x EndFraction

Answer 1

option C

Explanation:

egg 2023

Answer 2

a.
`(5x)/((x+3))`

b.
`(5x)/((x+3))`

Explanation:

Given that:

a.
`((25x^(2) )/(2x+6))` x
`((2)/(5x))` =
`(50x^(2) )/(5x(2x+6))`

=
`(50x^(2) )/(10x^(2) +30x)`

=
`((50x)x)/((10x+30)x)`

=
`(50x)/((10x+30))`

=
`(5x)/((x+3))`

b.
`((25x^(2) )/(2(x+3)))` x
`((2)/(5x))` =
`(50x^(2) )/(10x(x+3))`

=
`(5x)/((x+3))`

Therefore,

`((25x^(2) )/(2x+6))` x
`((2)/(5x))` =
`((25x^(2) )/(2(x+3)))` x
`((2)/(5x))` =
`(5x)/((x+3))`