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butalik [34]
3 years ago
9

Simplifying Complex fractions using any method

Mathematics
2 answers:
zloy xaker [14]3 years ago
6 0

Answer:

3ab

-------------------

(b+a)

Step-by-step explanation:

3/a - 3/b

-------------------

1/a^2 - 1/b^2

Multiply the top and bottom by a^2 b^2/ a^2/b^2 to clear the fractions

(3/a - 3/b) a^2 b^2

-------------------

(1/a^2 - 1/b^2) a^2b^2

3ab^2 - 3 a^2 b

-------------------

b^2 -  a^2

Factor out 3ab on the top

3ab( b-a)

-------------------

b^2 -  a^2

The bottom is the difference of squares

3ab( b-a)

-------------------

(b-a) (b+a)

Cancel like terms from the top and bottom

3ab

-------------------

(b+a)

Likurg_2 [28]3 years ago
3 0

Answer:

3ab/(b+a)

Step-by-step explanation:

Simplifying the numerator:

3/a - 3/b

3[1/a - 1/b]

Lcm is ab

3[(b - a)/ab]

Simplifying the denominator:

1/a² - 1/b²

Lcm: a²b²

(b² - a²)/(a²b²)

(b - a)(b + a)/(a²b²)

Numerator ÷ denominator

3[(b - a)/ab] ÷ (b - a)(b + a)/(a²b²)

3[(b - a)/ab] × a²b²/[(b - a)(b + a)]

3ab/(b + a)

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Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

  • 1.6×10^-8
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Step-by-step explanation:

The place value of a digit to the right of the decimal point is 10 to the negative power of the digit count. The 1st digit right of the decimal point has a place value of 10^-1.

Here, the most significant digit of 0.000000016 is in the 8th place to the right of the decimal point, so its place value is 10^-8.

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