Question

I NEED HELP ME PLEASE!!

Answer 1

1. The correct answer option is B.

2. The correct answer option is C.

4. The correct answer option is D.

Explanation:

1.
`(3)/(x^2+14x+48)` ÷
`(3)/(10x+60)`

Changing division to multiplication by taking the reciprocal of the latter fraction:

`(3)/(x^2+14x+48) * (10x+60)/(3)`

`(3)/((x+6)(x+8)) * (10(x+6))/(3)`

Cancelling the like terms to get:

`(10)/((x+8))`

The correct answer option is B.
`(10)/((x+8))`

2.
`(4x^2+36)/(4x) * (1)/(5x)`

Factorizing the terms and then cancelling the like terms to get:

`(4(x^2+9))/(4x) * (1)/(5x)`

`(x^2+9)/(5x^2)`

The correct answer option is C.
`(x^2+9)/(5x^2)`.

4.
`((4t^2-16)/(8) )/((t-2)/(6) )`

Changing division to multiplication by taking the reciprocal of the latter fraction:

`(4t^2-16)/(8) * (6)/(t-2)`

`(4(t-2)(t+2))/(8) * (6)/(t-2)`

Cancelling the like terms to get:

`3(t+2)`

The correct answer option is D.
`3(t+2)`.