Add(1/12X^4+6/7X^3+3/8X^2+5)+ (-7/12X^4+5/8X^2-5).
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X^4/12 + 6X^3/7 + 3X^2/8 + 5 7X^4/12
+ 5X^2/8 - 5.
LCD = 168.
(14X^4 + 144X^3 + 63X^2 - 98X^4 + 105X^2) / 168,
Combine like-terms:
(-84X^4 + 144X^3 + 168X^2) / 168,
Factor out 12X^2:
12X^2(-7X^2 + 12X + 14) / 168,
Divide numerator and denominator by 12 and get:
X^2(-7X^2 + 12X + 14) / 14.
To solve this expression, you need to combine like terms. First, let's rewrite the expression:
(1/12X^4 + 6/7X^3 + 3/8X^2 + 5) + (-7/12X^4 + 5/8X^2 - 5)
Now, let's combine the terms with the same variables and degrees:
(X^4 terms): 1/12X^4 + (-7/12X^4) = (1/12 - 7/12)X^4 = -6/12X^4 = -1/2X^4
(X^3 terms): 6/7X^3 + 0 = 6/7X^3 = 6/7X^3
(X^2 terms): 3/8X^2 + 5/8X^2 = (3/8 + 5/8)X^2 = 8/8X^2 = 1X^2 = X^2
(Constant terms): 5 + (-5) = 0
Putting it all together, the simplified expression becomes:
-1/2X^4 + 6/7X^3 + X^2 + 0
Therefore, the result of the expression is -1/2X^4 + 6/7X^3 + X^2.