Question

3/16a^3b - 5/12ab^2

Answer 1

Ответ:

$\frac{3}{16 {a}^{3}b } - \frac{5}{12a {b}^{2} } = \frac{3 \times 3b - 5 \times 4 {a}^{2} }{48 {a}^{3} {b}^{2} } = \frac{9b - 20 {a}^{2} }{48 {a}^{3} {b}^{2} }$

Answer 2

To simplify the expression (3/16a^3b - 5/12ab^2), you can find a common denominator for the fractions and then combine them:

The common denominator for 16 and 12 is 48. So, rewrite each fraction with a denominator of 48:

(3/16a^3b) = (3/16) * (a^3b) = (3/16) * (a^3b) * (3/3) = (9/48a^3b)

(5/12ab^2) = (5/12) * (ab^2) * (4/4) = (20/48ab^2)

Now that both fractions have a common denominator, you can combine them:

(9/48a^3b) - (20/48ab^2)

Now, subtract the fractions:

(9 - 20)/(48a^3b)

-11/(48a^3b)

So, the simplified expression is -11/(48a^3b).