Question

Сократить дробь 4а3б2/а2б-а3б2

Answer 1

$\frac{4 {x}^{3} {y}^{2} }{ {x}^{2}y - {x}^{3} {y}^{2} } = \frac{4 {x}^{3} {y}^{2} }{ {x}^{2} y(1- {x}y)} = \frac{4 {x}y }{1- {x} y}$

Answer 2

To simplify the fraction (4a^3b^2)/(a^2b - a^3b^2), we can factor out the common terms from the numerator and denominator and then cancel out any common factors. Here's the step-by-step simplification:

Step 1: Factor out the common terms In the numerator, we can factor out "ab^2": Numerator: 4a^3b^2 = ab^2 * 4a^2

In the denominator, we can factor out "ab": Denominator: a^2b - a^3b^2 = ab * (a - ab)

Step 2: Cancel out common factors Now, we can cancel out the common factors in the fraction: (4a^3b^2)/(a^2b - a^3b^2) = (ab^2 * 4a^2)/(ab * (a - ab))

Cancel out "ab" in the numerator and denominator: = (4a^2)/(a - ab)

So, the simplified fraction is (4a^2)/(a - ab).