Expression Found in Calculus. Simplify the fractional expression.(Expressions li

avissidep

avissidep

Answered question

2021-10-15

Expression Found in Calculus. Simplify the fractional expression.(Expressions like these arise in calculus.)
11+x+h11+xh

Answer & Explanation

odgovoreh

odgovoreh

Skilled2021-10-16Added 107 answers

Step 1
Multiplying the rational expressions:
To multiply rational expressions, we use the following property of fractions:
This says that to multiply two fractions, we multiply their numerators and multiply their denominators.
Dividing the rational expressions:
To divide rational expressions, we use the following property of fractions:
This says to divide the fraction by another fraction we invert the devisor and multiply.
Given expression= 11+x+h11+xh
We combine terms in the numerator into a single fraction. Then we invert and multiply.
11+x+h11+xh=1+x(1+x+h)(1+x+h)(1+x)h combine fractions in the numerator.
=1+x1xh(1+x+h)(1+x)h
=h(1+x+h)(1+x)h  since  AB÷CD=ABDC
h(1+x+h)(1+x)1h  since  ABCD=ACBD
=hh(1+x+h)(1+x)
=1(1+x+h)(1+x)

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