Question

-35ах2/12в2у*8ав/21ху=

Answer 1

$\displaystyle \tt -\frac{35ax^{2}}{18b^{2}y}\cdot\frac{8ab}{21xy}=-\frac{5ax\cdot4a}{9by\cdot3y}=-\frac{20a^{2}x}{27by^{2}};$

Answer 2

To simplify the given expression, let's break it down step by step:

Starting expression: -35ах^2/12в^2у * 8ав/21ху

Step 1: Simplify the numerator and denominator of each fraction separately.

Numerator: -35ах^2 * 8ав = -280а^2вх^2

Denominator: 12в^2у * 21ху = 252в^2ху^2

The expression becomes: (-280а^2вх^2) / (252в^2ху^2)

Step 2: Simplify the common factors in the numerator and denominator.

Numerator: -280а^2вх^2 = -10а^2вх^2 * 28

Denominator: 252в^2ху^2 = 12в^2ху^2 * 21

The expression becomes: (-10а^2вх^2 * 28) / (12в^2ху^2 * 21)

Step 3: Cancel out common factors in the numerator and denominator.

Numerator: -10а^2вх^2 * 28 = -280а^2вх^2

Denominator: 12в^2ху^2 * 21 = 252в^2ху^2

The expression simplifies to: -280а^2вх^2 / 252в^2ху^2

Step 4: Further simplify by canceling out common factors.

-280а^2вх^2 / 252в^2ху^2 = -10а^2 / 9у^2

Therefore, the simplified expression is: -10а^2 / 9у^2