Answer
False.
Work Step by Step
Factor $2x^3+6x^2$ :-
Factor out $2x^2$.
$=2x^2(x+3)$
Factor $6x^4+4x^3$ :-
Factor out $2x^3$.
$=2x^3(3x+2)$
Thus, the LCM is $=2x^3(x+3)(3x+2)$
Hence, the given statement is false.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Appendix A - Review - A.5 Rational Expressions - A.5 Assess Your Understanding - Page A41: 4
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