If a+b = 10 and ab =21 than 16ab (a²+b²)

If a+b = 10 and an = 21 than 16ab (a²+b²) = ?
in Pre-Algebra Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

If a+b = 10 and ab = 21 than 16ab (a²+b²) = ?

a + b = 10

(a + b)^2 = 100

a^2 + b^2 + 2ab = 100

a^2 + b^2 + 42 = 100 (using ab = 21)

a^2 + b^2 = 58

ab(a^2 + b^2) = 21*58 = 1218

16ab(a^2 + b^2) = 16*1218 = 19,488

Answer: 19,488

by Level 11 User (81.5k points)

Related questions

1 answer
Solve x/b+y/a=2 x/a+y/b=a²+b²/ab
asked Sep 27, 2012 in Algebra 2 Answers by anonymous | 736 views
1 answer
If a+b=2 and a²+b²=3, what does a⁴+b⁴ equal ?
asked Sep 3, 2022 by Jeby | 364 views
1 answer
integrate 1 divided by the product of (a²+x²) and(b²+x²)
asked Dec 12, 2013 in Other Math Topics by anonymous | 964 views
1 answer
LCM of 16ab^3, 5b^2a^2, 20ac
asked Dec 13, 2017 in Algebra 2 Answers by vdsger | 667 views
2 answers
16ab - 9cd why can't it be factored
asked Sep 10, 2013 in Algebra 1 Answers by charlotte babona | 1.3k views
0 answers
factor the polynomial 64a^2-16ab-24b^2
asked Jan 11, 2013 in Algebra 1 Answers by anonymous | 1.3k views
1 answer
if f(t)=t-1/t+1 than show that f(a)-f(b)/1-f(a)fb)=a-b/1+ab
asked Oct 2, 2013 in Other Math Topics by hafiz abdul haseeb awan | 1.0k views
1 answer
if f(t)=t-1/t+1 than show that f(a)-f(b)/1-f(a)fb)=a-b/1+ab
asked Oct 2, 2013 in Other Math Topics by hafiz abdul haseeb awan | 557 views
1 answer
simplify a²-am-an+mn/a²-am+an-mn
asked Feb 2, 2014 in Algebra 1 Answers by fmene | 2.7k views
1 answer
simplify (b²-5b+5) -(3b-b³)
asked Apr 2, 2013 in Algebra 2 Answers by anonymous | 553 views
1 answer
1 more than the quotient of 21 and b
asked Sep 19, 2011 in Pre-Algebra Answers by anonymous | 2.3k views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. complete the following. 825 use each digit once .make the two smallest 3 digit numbers and two largest 3-digit number (2)
  4. Solve 15 -1(12÷4+1)? (4)
  5. 8:4(5+2) (3)

Most popular tags

87,542 questions
99,768 answers
2,417 comments
504,742 users