Question

A)(3√a+7√b)*(3√a-3√b)б)(√3x+√22y)²в)(4√5-5√2)²ВЫПОЛНИТЬ УМНОЖЕНИЕ​

Answer 1

ответ: а) 9а+12√аb - 21b

Answer 2

A) (3√a + 7√b) * (3√a - 3√b)

To multiply these two expressions, we can use the distributive property. We will multiply each term in the first expression by each term in the second expression and then combine like terms.

Let's break down the multiplication step by step:

1. Multiply the first terms: (3√a) * (3√a) = 9a. 2. Multiply the outer terms: (3√a) * (-3√b) = -9√(ab). 3. Multiply the inner terms: (7√b) * (3√a) = 21√(ab). 4. Multiply the last terms: (7√b) * (-3√b) = -21b.

Now, let's combine the like terms:

9a - 9√(ab) + 21√(ab) - 21b.

Simplifying further, we have:

9a + 12√(ab) - 21b.

B) (√3x + √22y)²

To square this expression, we can use the formula (a + b)² = a² + 2ab + b².

Let's apply this formula to our expression:

1. Square the first term: (√3x)² = 3x. 2. Multiply the product of the first and second terms by 2: 2 * (√3x) * (√22y) = 2√(3x * 22y) = 2√(66xy). 3. Square the second term: (√22y)² = 22y.

Now, let's combine the terms:

3x + 2√(66xy) + 22y.

Simplifying further, we have:

3x + 2√(66xy) + 22y.

В) (4√5 - 5√2)²

To square this expression, we can again use the formula (a + b)² = a² + 2ab + b².

Let's apply this formula to our expression:

1. Square the first term: (4√5)² = 16 * 5 = 80. 2. Multiply the product of the first and second terms by 2: 2 * (4√5) * (-5√2) = -40√(10). 3. Square the second term: (-5√2)² = 25 * 2 = 50.

Now, let's combine the terms:

80 - 40√(10) + 50.

Simplifying further, we have:

130 - 40√(10).

I hope this helps! Let me know if you have any further questions.