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Topics
Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
Matrices
Trigonometry
Simplify
Evaluate
Graphs
Solve Equations
Calculus
Derivatives
Integrals
Limits
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Evaluate
54m-3n-6
View solution steps
Solution Steps
40m-3n+2m-6+12m
Combine 40m and 2m to get 42m.
42m-3n-6+12m
Combine 42m and 12m to get 54m.
54m-3n-6
Factor
3\left(18m-n-2\right)
View solution steps
Solution Steps
40m-3n+2m-6+12m
Multiply and combine like terms.
54m-3n-6
Factor out 3.
3\left(18m-n-2\right)
Quiz
Algebra
5 problems similar to:
40m-3n+2m-6+12m
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(m,n)=1, what could (3n-4m, 5n+m) be?
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You have the right idea - eliminate n and m,\, but your conclusion is misworded (reversed). It should state that 23 must be divisible by d (not 23 must divide d ) since \,d\mid 23m,23n\iff d\mid (23m,23n)\! =\! 23(m,n)\! =\! 23\ \ {\rm by}\ \ (m,n)=1 ...
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42m-3n-6+12m
Combine 40m and 2m to get 42m.
54m-3n-6
Combine 42m and 12m to get 54m.
54m-3n-6
Multiply and combine like terms.
3\left(18m-n-2\right)
Factor out 3.
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r(r+s)-2r^2+rs-s(s-3r)
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