To subtract x^2x2 from x^2/4x24, you need the lowest common denominator. The lowest common denominator (LCDLCD) for 44 and 11 is 44. That is, 44 is the smallest number that both 11 and 44 evenly divide into.
Since x^2/4x24 already has 44 as its denominator, that does not need to be changed. The current denominator of x^2x2, however, is 11, which becomes 44 by multiplying by 44.
If the denominator is multiplied by 44, then the numerator must also be multiplied by 44. Or, (x^2)(4) = 4x^2(x2)(4)=4x2.
Now, subtraction is possible, since the denominators are the same.
And, x^2/4 - (4x^2)/4 = -(3x^2)/4x24−4x24=−3x24.
(Sorry, I answered this as a simplification of the expression. I thought that the "calculus" topic was wrong. Please don't forget to include complete details for future questions that you may ask. Thanks.)
