Expand the polynomial: (−a+b)(b–a)

a^2 - 2ab + b^2

Step-by-step explanation:

Step 1:  Foil

(-a + b)(b - a)

(-a * b) + (-a * -a) + (b * b) + (b * -a)

-ab + a^2 + b^2 - ab

a^2 - 2ab + b^2

 a^2 - 2ab + b^2

a² - 2ab + b²

Step-by-step explanation:

(-a+b)(b-a)

(b-a)(b-a)

(b-a)²

b² - 2ab + a²

Or

a² - 2ab + b²

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.