Question 74329
(X^2)/(X+6)+(7X+6)/(X+6) SEEING AS WE HAVE THE SAME DENOMINATORS SO WE ADD NUMERATORS THUS:
(X^2+7X+6)/(X+6)
(X^2+7X+6)/(X+6)
(X+1)(X+6)/(X+6) CANCELL OUT THE (X+6)s.
X+1
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3/(Y-5)-1/(Y+1) FIND A COMMON DENOMINATOR (Y-5)(Y+1)
[3(Y+1)-1(Y-5)]/(Y-5)(Y+1)
(3Y+3-Y+5)/(Y-5)(Y+1)
(2Y+8)/(Y-5)(Y+1)
2(Y+4)/(Y-5)(Y+1)
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(M^3/8)/(M^6/16) NOW INVERT THE DENOMINATOR FRACTION & MULTIPLY
M^3/8*16/M^6
16M^3/8M^6 NOW CANCEL OUT COMMON TERMS (16/8=2) & (M^3/M^6=1/M^3)
2/M^3