Simplify (2p+3)2 - (2p-3)2 (give proper detailed answer with all steps)

Step-by-step explanation:

There's a very useful pattern in factoring and multiplying binomials called a difference of squares, and it looks like this:

We can use this difference of squares to factor the expression we've been given, setting and to obtain the expression

(1)

tackling each of the multiplicands on the right:

(Left)

(Right)

This simplifies the expression on the right of (1) to , or simply .

26

step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.