195k views
3 votes
If 4a² + 9b² = 25 and ab = 8, find the value of (2a + 3b)²​

1 Answer

3 votes

Answer:

(2a + 3b)² = 121

Explanation:

given 4a² + 9b² = 25 and ab = 8

(2a + 3b)² ← expand using FOIL

= 4a² + 6ab + 6ab + 9b²

= 4a² + 9b² + 12ab ← substitute given values from above

= 25 + 12(8)

= 25 + 96

= 121

User Thomee
by
8.4k points