Question

If a+ b = 4 and ab =(-12) then find a- b and a²- b²ind a- b and a²- b²hen find

Answer 1

Answer:

a-b=8

Step-by-step explanation:

a=6    b=-2

a-b= 6-(-2) = 6+2= 8

a∧2- b^2 = (a-b)∧2

                   (6+2)^2

now using the identity we get 36+24+4 = 64

Answer 2

Answer:

a+b=4

a=4-b - - - - - - - - - equation1

Substitute a in the product of a and b

(4-b)*b=-12

4b-b*b=-12

=b^2-4b-12

By factorisation we have two values for b

b-6=0| b+2=0

b=6|b=-2

negative value cannot be the factor

So b=6

Substitute b in equation 1

a=4-6

a=-2

a-b=-2-6

=-8

a^2-b^2=(-2)^2-(6)^2

=4-36

=-32