5. Show that if a|bc and gcd(a, b) = 1 then a|c.
Added by Cory F.
Close
Step 1
This is the definition of divisibility. Show more…
Show all steps
Your feedback will help us improve your experience
Sam Stansfield and 97 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
prove that a/b=ac/bc if b,c are not equal to 0
Sanchit J.
Show that $$\left|\begin{array}{lll} 1 & b c & b+c \\ 1 & c a & c+a \\ 1 & a b & a+b \end{array}\right|=(b-c)(c-a)(a-b)$$
Systems of Equations
Determinants and Cramer's Rule
If $a$ be A.M. of $b$ and $c, b$ the G.M. of $c$ and $a$, then prove that $c$ is the $\mathrm{H} . \mathrm{M}$. of $a$ and $b$.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
