If (a+b+c=9) and (ab+bc+ca=20), what is (a^2+b^2+c^2)?
Answer and explanation
Correct answer: (41)
(a^2+b^2+c^2=(a+b+c)^2-2(ab+bc+ca)=81-40=41). Exam tip: directly use the square identity of three terms.
Frequently asked questions
What is the correct answer to this question?
(41)
Why is this the correct answer?
(a^2+b^2+c^2=(a+b+c)^2-2(ab+bc+ca)=81-40=41). Exam tip: directly use the square identity of three terms.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.