Question

(b) If a+b+c=5. ab + bc + 7 and abc-3, find the value of
8릉​

Answer 1

Answer:

We have,

a+b+c=5

ab+bc+ca=10

Since,

(a+b+c)

2

=25

a

2

+b

2

+c

2

+2(ab+bc+ca)=25

a

2

+b

2

+c

2

+2×10=25

a

2

+b

2

+c

2

=5

We know that,

a

3

+b

3

+c

3

−3abc=(a+b+c)(a

2

+b

2

+c

2

−(ab+bc+ca))

a

3

+b

3

+c

3

−3abc=(5)×(5−10)

a

3

+b

3

+c

3

−3abc=5×−5

a

3

+b

3

+c

3

−3abc=−25

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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