FIND THE QUOTIENT OF RATIONAL EXPRESSIONS

Problem 1 :

Solution :

Keep the first fraction as it is, next change the division sign as multiplication and write the reciprocal of the second fraction.

After we did the possible simplification, the answer is 5/6.

Problem 2 :

Solution :

Keep the first fraction as it is, next change the division sign as multiplication and write the reciprocal of the second fraction.

After we did the possible simplification, the answer is 3.

Problem 3 :

Solution :

a²-b² = (a+b)(a-b)

Problem 4 :

Solution :

a²-b² = (a+b)(a-b)

x²-7² = (x+7)(x-7)

Problem 5 :

Solution :

Factoring 6 from, we get

6a+30 = 6(a+5)

Problem 6 :

Solution :

a²-b² = (a+b)(a-b)

x²-64 = x²-8² = (x+8)(x-8)

Problem 7 :

Solution :

Factoring 4, from c²+4c, we get

c²+4c = c(c+4)

c²-c-20 = (c-5)(c+4)

Problem 8 :

Solution :

x²+10x+21 = (x+3)(x+7)

x²+5x+4 = (x+1)(x+4)

x²+4x = x(x+4)

x³+7x² = x²(x+7)

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