Question

(5a-5b)/(15a^2 )∙a^3/(a^2-b^2)

Answer 1

Если что-то не понятно спроси

Answer 2

To simplify the expression $\frac{5a - 5b}{15a^2} \cdot \frac{a^3}{a^2 - b^2}$, let's break down the steps:

Step 1: Factor out the common term from the numerator of the first fraction and the denominator of the second fraction. $\frac{5(a - b)}{15a^2} \cdot \frac{a^3}{(a - b)(a + b)}$

Step 2: Simplify the fractions by canceling out common factors. First, reduce the fractions: $\frac{a - b}{3a^2} \cdot \frac{a^3}{a + b}$

Step 3: Multiply the numerators and denominators separately. $\frac{a(a - b) \cdot a^3}{3a^2 \cdot (a + b)}$

Step 4: Simplify the expression in the numerator. $a^4 \cdot \frac{a - b}{3a^2 \cdot (a + b)}$

Step 5: Cancel out common factors in the numerator and denominator. $\frac{a^4}{3a(a + b)}$

Step 6: Further simplify by canceling a factor of $a$ in the numerator and denominator. $\frac{a^3}{3(a + b)}$

So, the simplified expression is $\frac{a^3}{3(a + b)}$.