Question

If a - b = 3 and a2 + b2 = 29, find the value of ab.
A.10
B.12
C.15
D.18

Answer 1

Answer:

Step-by-step explanation:

a-b=3

a2+b2=29

(a-b)^2=a2+b2-2ab

3^2=29-2ab

9=29-2ab

2ab=29-9

2ab=20

ab=20/2

ab=10

Answer 2

(a-b)²=a²+b²-2ab
3²=29-2ab
9=29-2ab
2ab=29-9
2ab=20
ab=20/2
a =10