rMelon
Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

If (3a+4b)=16 and ab=4, find the value of (9a^2+16b^2).​

Sagot :

wegnerkolmp2741o

Answer:

160

Step-by-step explanation:

(3a+4b) = 16

ab = 4

Square (3a+4b)

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

9a^2 + 12ab+12ab+16b^2 = =256

9a^2 +16b^2   +24ab=256

9a^2 +16b^2   +24ab - 24 ab=256 -24ab

9a^2 +16b^2  =256- 24ab

We know ab = 4

9a^2 +16b^2  =256- 24*4

9a^2 +16b^2  =256- 96

9a^2 +16b^2  =160

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.