a + b + C is equal to 15 a square + b square + c square is equal to 25 a b + BC + CA is equal to what
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Given,
a+b+c=15
And,
a^2+b^2+c^2=25
We know that,
2(ab+bc+ca) = (a+b+c)^2-(a^2+b^2+c^2)
=> 2(ab+bc+ca) = (15)^2-25
=> 2(ab+bc+ca) = 225-25
=> 2(ab+bc+ca) = 220
=> ab+bc+ca = 220/2
=> ab+bc+ca = 110
Therefore ab+bc+ca is equal to 110.
a+b+c=15
And,
a^2+b^2+c^2=25
We know that,
2(ab+bc+ca) = (a+b+c)^2-(a^2+b^2+c^2)
=> 2(ab+bc+ca) = (15)^2-25
=> 2(ab+bc+ca) = 225-25
=> 2(ab+bc+ca) = 220
=> ab+bc+ca = 220/2
=> ab+bc+ca = 110
Therefore ab+bc+ca is equal to 110.
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