Factor (5x − 6)2 − (4x − 3)2.

9( x-3) (x-1)

Step-by-step explanation:

(5x − 6)^2 − (4x − 3)^2

This is the difference of squares   a^2 - b^2 = ( a-b) (a+b)

(5x − 6)^2 − (4x − 3)^2   where a = 5x-6  and b = 4x-3

( 5x-6 - (4x-3))  ( 5x-6 +(4x-3)

Distribute

( 5x-6 -4x+3)  ( 5x-6 +4x-3)

Combine like terms

(x-3) ( 9x-9)

Factor out the 9

9( x-3) (x-1)

w

step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)