Factorize a² +3ab - 5ab - 15b².

Step-by-step explanation:

Work via factoring by groups:

!) re arrange the terms as follows:

then extract the common factor for the first two terms (a), and separately the common factors for the last two terms (3 b):

Now notice that the binomial factor (a-5 b) is in both expressions, so extract it:

which is the final factorization.

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.