Problem #1 Perform the indicated operations. Express your answer in reduced form

Question

Problem #1

Perform the indicated operations. Express your answer in reduced form.

Problem #2

Perform the indicated operations. Express your answer in reduced form.

Problem #3

Perform the indicated operations. Express your answer in reduced form.

Problem #4

Perform the indicated operations. Express your answer in reduced form.

Problem #5

Split into a sum or difference of reduced fractions.

Problem #6

Split into a sum or difference of reduced fractions.

Problem #7

Multiply and simplify your answer.

Problem #8

Perform the indicated operation. Note that the denominators are the same. Simplify the result, if possible.

Problem #9

Perform the indicated operation. Simplify the result, if possible.

Problem #10

Perform the indicated operation. Note that the denominators are the same. Simplify the result, if possible.

Problem #11

Perform the indicated operation. Simplify the result, if possible.

_______

Problem #2

Perform the indicated operations. Express your answer in reduced form.

________

Problem #3

Perform the indicated operations. Express your answer in reduced form.

Problem #4

Perform the indicated operations. Express your answer in reduced form.

Problem #5

Split into a sum or difference of reduced fractions.

Problem #6

Split into a sum or difference of reduced fractions.

Problem #7

Multiply and simplify your answer.

Problem #8

Perform the indicated operation. Note that the denominators are the same. Simplify the result, if possible.

Problem #9

Perform the indicated operation. Simplify the result, if possible.

Problem #10

Perform the indicated operation. Note that the denominators are the same. Simplify the result, if possible.

Problem #11

Perform the indicated operation. Simplify the result, if possible.

Explanation / Answer

1) 5/x^7 - 6/x

taking as x^7 as lcd : (5-6x^6)/x^7

2) 8/(x^2 +10x +21) +7/(x+3)

factorise :x^2+10x +21 =x^2 +7x +3x +21 = (x +7)(x+3)

8/(x^2 +10x +21) +7/(x+3) = 8/(x+7)(x+3) +7/(x +3)

taking (x +7)(x+3) as lcd:

8/(x^2 +10x +21) +7/(x+3) = ( 8 + 7(x+7) )/(x+3)(x+7)

= (7x+15)/(x+3)(x+7)

3) 7/(x-7)^2(x+1) -9/(x-7)

taking (x-7)^2(x+1) as lcd:

( 7 -9(x-7)(x+1) )/((x-7)^2(x+1)

( 7 - 9x^2+54x+63)/(x-7)^2(x+1)

=( -9x^2 +54x +70)/(x-7)^2(x+1)

4) 6/x^1/2 - 4/(x)^7/2

taking x^7/2 as lcd:

(6x^3 -4)/x^7/2

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.