Can u answer these for me with the work shown

Step-by-step explanation:

Required

Simplify

Solving (1):

Factorize the numerator and the denominator

Factor out x+2 at the numerator

Express x^2 - 9 as difference of two squares

Expand the denominator

Factorize

Cancel out same factors

Hence:

Solving (2):

Expand the numerator and factorize the denominator

Factorize the numerator

Factor out x - 2

Cancel out x - 2

Hence:

Solving (3):

Express x^2 - 9 as difference of two squares

Factorize all:

Cancel out x + 3 and 3 + x

Express as

Hence:

Solving (4):

Expand x^2 - 6x + 9 and factorize 5x - 15

Factorize

Cancel out x - 3

Change / to *

Express as

Hence:

Solving (5):

Factorize the numerator and expand the denominator

Factor out x - 1 at the numerator and factorize the denominator

Express x^2 - 1 as difference of two squares and factor out x - 1 at the denominator

Hence:

Solving (6):

Factorize:

Divide by 3x

Hence:

Solving (7):

Change / to *

Expand

Factorize

Cancel out x - 2 and x - 1

Cancel out x

Hence:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,