We found the factors and prime factorization of 9 and 12. The biggest common factor number is the GCF number. So the greatest common factor 9 and 12 is 3.

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2 years ago

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Please answer with process

laila [671]

$\mathsf{Given : a - b = 5}$

$\mathsf{Squaring\;on\;both\;sides,\;we\;get :}$

$\mathsf{\implies (a - b)^2 = 5^2}$

$\mathsf{\implies a^2 + b^2 - 2(a.b) = 25}$

$\mathsf{Given : a^2 + b^2 = 29}$

$\mathsf{\implies 29 - 2(a.b) = 25}$

$\mathsf{\implies 2(a.b) = 29 - 25}$

$\mathsf{\implies 2(a.b) = 4}$

$\mathsf{\implies (a.b) = 2}$

6 0

2 years ago