   Chapter 4.CT, Problem 6CT

Chapter
Section
Textbook Problem

For Problems 5-13, perform the indicated operations, and express your answers in simplest form. 5 a + 5 b 20 a + 10 b ⋅ a 2 − a b 2 a 2 + 2 a b

To determine

To Perform:

The given operation and reduce in simplest form.

Explanation

A rational expression, quotient obtained by a division of two polynomials in the form of p(x,y)q(x,y) where p(x,y) and q(x,y) are polynomials in such a way that the variables x, y do not assume values such that q(x,y)=0.

If ab and cd are rational numbers or expression, then the rational multiplication is formed by writing the numerator as multiplication product of numerators and denominator as the multiplication product of the denominators.

abcd=acbd=acbd

If nonzero integers are m and k and n is any integer, then the two fractions nkmk and nm follow the fractions fundamental principle as given below.

nkmk=nm.

Calculation:

The given rational is 5a+5b20a+10ba2ab2a2+2ab

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