Question

(a-2)² дробная черта b+5 разделить 3a-6 дробная черта 2b+10

Answer 1

$\frac{(a-2) ^{2} }{b+5}: \frac{3a-6}{2b+10} = \frac{(a-2) ^{2} }{b+5}* \frac{2(b+5)}{3(a-2)} = \frac{2(a-2)}{3}= \frac{2a-4}{3}$

Answer 2

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

Step 1: Simplify the expression (a-2)² (a-2)² = (a-2) * (a-2) = a² - 2a - 2a + 4 = a² - 4a + 4

Step 2: Simplify the expression b+5 This is already simplified.

Step 3: Simplify the expression 3a-6 This is already simplified.

Step 4: Simplify the expression 2b+10 This is already simplified.

Now, let's combine all the simplified expressions:

(a-2)² ÷ (b+5) ÷ (3a-6) ÷ (2b+10)

Substitute the simplified expressions:

(a² - 4a + 4) ÷ (b + 5) ÷ (3a - 6) ÷ (2b + 10)

Now, when dividing fractions, we can invert and multiply. So, the expression becomes:

(a² - 4a + 4) * (2b + 10) ÷ (b + 5) ÷ (3a - 6)

Now, let's factor the quadratic expression:

(a² - 4a + 4) = (a - 2) * (a - 2) = (a - 2)²

Substitute the factored expression:

(a - 2)² * (2b + 10) ÷ (b + 5) ÷ (3a - 6)

Now, simplify the expressions in the numerator and denominator:

2(b + 5) = 2b + 10 3(a - 2) = 3a - 6

Now, our expression becomes:

(a - 2)² * (2b + 10) ÷ (b + 5) ÷ (3a - 6)

Now, we can cancel out common factors:

(a - 2)² * 2 ÷ 3

Finally, we get the simplified expression:

(2(a - 2)²) ÷ 3

or

(2a² - 8a + 8) ÷ 3

This is the simplified expression for (a-2)² ÷ (b+5) ÷ (3a-6) ÷ (2b+10).