If A + B = 11 and (A – B)^{2} = 49 then find the value of expression {(A + B)^{3} – A^{3})(A^{2} + B^{2})} / (A^{4} – B^{4}).

- a)86/11
- b)56/9
- c)8
- d)46/7

Correct answer is option 'A'. Can you explain this answer?

Related Test: SSC CHSL Mock Test -10

Learners World
answered
Jun 05, 2020

Given,

⇒ A + B = 11

⇒ (A – B)^{2 }= 49

⇒ A – B = 7

⇒ A + B = 11

⇒ (A – B)

⇒ A – B = 7

On solving, we get

⇒ A = 9 and B = 2

Given,

⇒ ? = {(A + B)^{3} – A^{3})(A^{2} + B^{2})} / (A^{4} – B^{4})

⇒ ? = {(A^{3} + 3A^{2}B + 3AB^{2} + B^{3} – A^{3})(A^{2} + B^{2})} / (A^{4} – B^{4})

⇒ ? = {(3A^{2}B + 3AB^{2} + B^{3})(A^{2} + B^{2})} / {(A^{2} – B^{2})(A^{2} + B^{2})}

⇒ ? = {(3A^{2}B + 3AB^{2} + B^{3})} / (A^{2} – B^{2})

⇒ A = 9 and B = 2

Given,

⇒ ? = {(A + B)

⇒ ? = {(A

⇒ ? = {(3A

⇒ ? = {(3A

Put values of A and B, we get

⇒ ? = (3 × 81 × 2 + 3 × 9 × 4 + 8) / (81 – 4)

⇒ ? = 602/77

⇒ ? = 86/11

⇒ ? = (3 × 81 × 2 + 3 × 9 × 4 + 8) / (81 – 4)

⇒ ? = 602/77

⇒ ? = 86/11

This discussion on If A + B = 11 and (A – B)2= 49 then find the value of expression {(A + B)3– A3)(A2+ B2)} / (A4– B4).a)86/11b)56/9c)8d)46/7Correct answer is option 'A'. Can you explain this answer? is done on EduRev Study Group by SSC Students. The Questions and
Answers of If A + B = 11 and (A – B)2= 49 then find the value of expression {(A + B)3– A3)(A2+ B2)} / (A4– B4).a)86/11b)56/9c)8d)46/7Correct answer is option 'A'. Can you explain this answer? are solved by group of students and teacher of SSC, which is also the largest student
community of SSC. If the answer is not available please wait for a while and a community member will probably answer this
soon. You can study other questions, MCQs, videos and tests for SSC on EduRev and even discuss your questions like
If A + B = 11 and (A – B)2= 49 then find the value of expression {(A + B)3– A3)(A2+ B2)} / (A4– B4).a)86/11b)56/9c)8d)46/7Correct answer is option 'A'. Can you explain this answer? over here on EduRev! Apart from being the largest SSC community, EduRev has the largest solved
Question bank for SSC.

Ask a question

Upgrade to Infinity