Register
If (3a+4b)=16 and ab=4, find the value of (9a^2+16b^2).​
208k views
4 votes
If (3a+4b)=16 and ab=4, find the value of (9a^2+16b^2).​

User Asheli
by
4.6k points

1 Answer

1 vote

Answer:

160

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

User Bhaskar Jyoti Dutta
by
4.4k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

4.7m questions

6.1m answers

Other Questions

I need to simplify this expression.
Which property is shown in the problem below? -8(x-3y-9) = -8x+24y+72 A the associative property B the commutative property C the distributive property D the division property ASAP
What is the domain and range?
What does translation means in math? I am taking a quiz on this right now, I need an answer ASAP!!!!!!
If in circle A is 60°, what is m∠BDC? A. 60 B. 45 C. 30 D. 25
Link Copied!