It s kind of vague but if you mean the denominator to be x raised to the 4th power then x 0 must be excluded. Multiply out the second fraction distributing through the numerator.
The step by step breakdown when you do this multiplication is.
What to do when x is in the denominator. First simplify this expression. All that you need to do is times the right hand side by the denominator to get rid of it as if you times 3 x by x the x cancels out. So 1 4 4 x 1 4 x 4 x x 1 4x 4.
To do this you need to find a common denominator just like when you add fractions in which the numerator and denominator are just numbers. But it is not simplest form and so can cost you marks. Multiply the fraction with sec x in the denominator by cos x divided by cos x which is equivalent to 1.
Fixing it by making the denominator rational is called rationalizing the denominator note. For this problem you get x 2 2. Because cos x and sec x are reciprocals their product is 1.
To rationalize this denominator you multiply the top and bottom by the conjugate of it which is. Shows how many equal parts the item is divided into. Take a look at a typical example involving rationalizing a denominator by using the conjugate.
The top number is. The difference is that finding the common denominator of rational expressions can be more complicated because their denominators can include variables. To rationalize a denominator start by multiplying the numerator and denominator by the radical in the denominator.
Then simplify the fraction if necessary. 3 3x and now you can just divide normally. Any value of x which causes the denominator to equal zero.
The bottom number in a fraction. If you mean x 4. Illustrated definition of denominator.
There is nothing wrong with an irrational denominator it still works. Substitute 1 in both the numerator and the denominator. When x is in the denominator you must multiply each side by x and then divide by whatever number in this case 1 4.
To be in simplest form the denominator should not be irrational. 3 x 3 where x is the denominator. Replace the reciprocal of tan x with cot x.
And removing them may help you solve an equation so you should learn how. If you re working with a fraction that has a binomial denominator or two terms in the denominator multiply the numerator and denominator by the conjugate of the.