Question

If 2a-3b=6 and ab=4 find 4a^2 +9b^2

Answer 1

Given :-

• 2a - 3b = 6
• ab = 4

To find :-

• 4a² + 9b²

Solution :-

→ 2a - 3b = 6

• Squaring both side

→ (2a - 3b)² = (6)²

• Apply identity
• (a - b)² = a² + b² - 2ab

→ (2a)² + (3b)² - 2 × 2a × 3b = 36

→ 4a² + 9b² - 12ab = 36

• Put the value ab

→ 4a² + 9b² - 12 × 4 = 36

→ 4a² + 9b² - 48 = 36

→ 4a² + 9b² = 36 + 48

→ 4a² + 9b² = 84

Hence,

• The value 4a² + 9b² is 84

Answer 2

Answer:

44

Step-by-step explanation:

2a-3b=6,ab=4.

4a²+9b²

(2a)²+(3b)²

(2a-3b)²+2ab

6²+8

36+8

44.