Question

3a +4b = 13
ab = 3
Find
1) 9a² + 16b²
2) 81 a⁴+ 256 b⁴​

Answer 1

Answer:

(î) (3a + 4b)² = (13)²

9a² + 16b² + 2ab =. 169

9a² + 16b² + 2x3.= 169. (ab=3)

9a² + 16b² = 169 –6 = 163

The ans. is 163

Answer 2

Step-by-step explanation:

= (3a + 4b)^2 = (13)^2

= (3a^2 + 2(3a)(4b) + 16b^2 = 169

= (9a^2 + 24ab + 16b^2 = 169

=9a^2 + 16b^2 + 72 = 169

9a^2 + 16b^2 = 169 - 72 = 97

Therefore 9a^2 + 16b^2 = 97

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