Question

(3x-2)во 2 степени -(2+3x)во 2 степени при x= -11/24​

Answer 1

$3 {x}^{2} - 4 - 4 - 9 {x}^{2} = - 6 {x}^{2} - 8 = - 6 \times ( - \frac{11}{24} ) ^{2} - 8 = - 6 \times \frac{121}{576} - 8 = - \frac{726}{576} - 8 = 1 \frac{150}{576} - 8 = 6 \frac{213}{263} .$

Answer 2

To evaluate the expression (3x - 2)² - (2 + 3x)² when x = -11/24, we can substitute the value of x into the expression and perform the necessary calculations.

Let's substitute x = -11/24 into the expression:

(3(-11/24) - 2)² - (2 + 3(-11/24))²

Simplifying the expression step by step:

= (-33/24 - 2)² - (2 - 33/8)² = (-33/24 - 48/24)² - (16/8 - 33/8)² = (-81/24)² - (-17/8)² = (-3⅜)² - (-2⅛)² = (81/64) - (289/64) = -208/64 = -13/4 ≈ -3.25

Therefore, when x = -11/24, the value of the expression (3x - 2)² - (2 + 3x)² is approximately -3.25.