Question

А) (4x−1)(4x+1)−(2x−2)(3x+1) (4x-1)(4x+1)-(2x-2)(3x+1)(4x−1)(4x+1)−(2x−2)(3x+1) при x=3,7 Напишите просто ответ

Answer 1

((16x^2 - 1) - (6x^2 - 4x - 2)(16x^2 - 1) - (6x^2 - 4x - 2)(16x^2 - 1) )-
- (6x^2 - 4x - 2) = (16x^2 - 1)(1 - 6x^2+4x + 2- 6x^2 + 4x + 2) - (6x^2 - 4x-2)=
= (16x^2 - 1)(- 12x^2+ 8x + 5) - (6x^2 - 4x - 2) = -192x^4 + 128x^3+80x^2 +
+ 12x^2 - 8x - 5 - 6x^2 + 4x + 2 = - 192x^4+ 128x^3 + 86x^2 - 4x- 3
При x = 3,7:
- 192*187,4161 + 128*50,653 + 86*13,69 - 14,8 - 3 =
= - 35983,891 + 6483,584 + 1177,34 - 17,8 =
= - 29500,307 + 1159,54 = - 28340,767
Как-то так................

Answer 2

Simplifying the Expression

To simplify the expression (4x−1)(4x+1)−(2x−2)(3x+1)+(4x-1)(4x+1)-(2x-2)(3x+1)(4x−1)(4x+1)−(2x−2)(3x+1) when x=3.7, we can follow these steps:

Step 1: Substitute x=3.7 into the expression.

Step 2: Simplify each term of the expression.

Step 3: Combine like terms.

Let's go through each step in detail.

Step 1: Substitute x=3.7

We substitute x=3.7 into the expression:

(4(3.7)−1)(4(3.7)+1)−(2(3.7)−2)(3(3.7)+1)+(4(3.7)-1)(4(3.7)+1)-(2(3.7)-2)(3(3.7)+1)

Step 2: Simplify each term

Now, let's simplify each term of the expression:

- (4(3.7)−1)(4(3.7)+1): - Simplifying the first term: 4(3.7)−1 = 14.8−1 = 13.8 - Simplifying the second term: 4(3.7)+1 = 14.8+1 = 15.8 - Multiplying the two terms: 13.8 * 15.8 = 218.04

- (2(3.7)−2)(3(3.7)+1): - Simplifying the first term: 2(3.7)−2 = 7.4−2 = 5.4 - Simplifying the second term: 3(3.7)+1 = 11.1+1 = 12.1 - Multiplying the two terms: 5.4 * 12.1 = 65.34

- (4(3.7)-1)(4(3.7)+1): - Simplifying the first term: 4(3.7)-1 = 14.8-1 = 13.8 - Simplifying the second term: 4(3.7)+1 = 14.8+1 = 15.8 - Multiplying the two terms: 13.8 * 15.8 = 218.04

- (2(3.7)-2)(3(3.7)+1): - Simplifying the first term: 2(3.7)-2 = 7.4-2 = 5.4 - Simplifying the second term: 3(3.7)+1 = 11.1+1 = 12.1 - Multiplying the two terms: 5.4 * 12.1 = 65.34

Step 3: Combine like terms

Now, let's combine the like terms:

(218.04 - 65.34) + (218.04 - 65.34)

Simplifying further:

152.7 + 152.7 = 305.4

Therefore, when x=3.7, the simplified value of the expression (4x−1)(4x+1)−(2x−2)(3x+1)+(4x-1)(4x+1)-(2x-2)(3x+1)(4x−1)(4x+1)−(2x−2)(3x+1) is 305.4.

Please let me know if there's anything else I can help you with!