Question

(4-3√a)(4+3√a)-4a (5-√2a)5+√2a)-(4a-20) (2√3-3√a)(2+3√a)-4√3 2a-(2√7-√7a)(2√7+√7a)

Answer 1

1) =16-9a-4a=16-13a

2) =25-4a-4a+20=45-8a

3)=4 квадратный корень из 3 +6 квадратный корень из 3а - 6 квадратный корень из а - 9а -4 квадратный корень из 3=6 квадратный корень их 3а - 6 квадратный корень из а - 9а

4) не знаю как

Answer 2

Let's simplify the expression step-by-step:

1. Simplify the first term: (4 - 3√a)(4 + 3√a) Using the difference of squares formula (a^2 - b^2 = (a + b)(a - b)): (4 - 3√a)(4 + 3√a) = 4^2 - (3√a)^2 = 16 - 9a

2. Simplify the second term: 4a(5 - √2a)(5 + √2a) Using the difference of squares formula again: 4a(5 - √2a)(5 + √2a) = 4a(5^2 - (√2a)^2) = 4a(25 - 2a) = 100a - 8a^2

3. Simplify the third term: (4a - 20)(2√3 - 3√a)(2 + 3√a) Expand the terms using the distributive property: (4a - 20)(2√3 - 3√a)(2 + 3√a) = (8a√3 - 12a√a - 40√3 + 60√a) (2 + 3√a) = 16a√3 + 24a^2 - 24a√a + 40√3√a - 40√3 - 60a - 60√a + 90a = 16a√3 + 24a^2 + 40√3√a - 84a - 40√3 - 60√a

4. Simplify the fourth term: -4√3 2a Assuming this term is meant to be: -4√3 * 2a (multiplication between -4√3 and 2a) -4√3 * 2a = -8a√3

5. Simplify the fifth term: (2√7 - √7a)(2√7 + √7a) Using the difference of squares formula: (2√7 - √7a)(2√7 + √7a) = (2√7)^2 - (√7a)^2 = 28 - 7a

Now, let's combine all the simplified terms:

(16 - 9a) - (100a - 8a^2) - (16a√3 + 24a^2 + 40√3√a - 84a - 40√3 - 60√a) - (-8a√3) - (28 - 7a)

Simplify further:

16 - 9a - 100a + 8a^2 - 16a√3 - 24a^2 - 40√3√a + 84a + 40√3 + 60√a + 8a√3 - 28 + 7a

Combine like terms:

(8a^2 - 24a^2) + (84a - 9a - 100a + 7a) + (-16a√3 + 8a√3) + (-40√3√a) + (40√3 + 60√a) + (16 - 28)

-16a^2 - 18a - 8a√3 - 40√3√a + 40√3 + 60√a - 12

Finally, you can factor out common terms:

-2(8a^2 + 9a + 4a√3 + 20√3√a - 20√3 - 30√a + 6)

This is the simplified expression.