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Multiplying fractions with variables and exponents

How to multiply fractions with variables and exponents?

Examples of multiplying fractions with variables and exponents

Example 1.

Multiplication of fractions with variables and exponents:

a * a
57

We multiply the numerator a by the numerator a and the denominator 5 by the denominator 7:

a * a
5 * 7

And we get the result

a2
35

Example 2.

Multiplying fractions with x in the denominator:

5 * 7
99x

Multiply the numerator 5 by the numerator 7 and the denominator 9 by the denominator 9x:

5 * 7
9 * 9x

The answer

35
81x

Example 3.

Multiplication of fractions with x:

x + 5 + x - 5
a + ba - b

We multiply the numerator (x + 5) by the numerator (x - 5) and the denominator (a + b) by the denominator (a - b):

(x + 5) * (x - 5)
(a + b) * (a - b)

We know that

(c - d) * (c + d) =
c2 - d2

Answer

x2 - 52
a2 - b2