Question

( 8а 4 + 12а3 ) : ( 4а2 ) - 6а 3 : ( 3а ) при а = 1 \frac{1}{3}.

Answer 1

Ответ:

4.

Объяснение:

(8а⁴ + 12а³) : (4а²) - 6а³ : (3а) = 8а⁴ : 4а² + 12а³ : 4а² - 6 : 3а³⁻¹ =

= 8 : 4а⁴⁻² + 12 : 4а³⁻² - 2а² = 2а² + 3а - 2а² = 3а

$a= 1 \frac{1}{3}\\\\3*1 \frac{1}{3}=3*\frac{4}{3} =\frac{3*4}{3} =4$

Answer 2

To solve the given expression, we need to substitute the value of 'a' and perform the necessary calculations. Let's substitute 'a' with 1⅓ and simplify the expression step by step.

First, let's substitute 'a' in the expression: (8a^4 + 12a^3) / (4a^2) - 6a^3 / (3a) (where 'a' = 1⅓)

Substituting the value of 'a' = 1⅓, we get: (8(1⅓)^4 + 12(1⅓)^3) / (4(1⅓)^2) - 6(1⅓)^3 / (3(1⅓))

Now, let's calculate each part of the expression separately:

8(1⅓)^4 = 8(1⅓)(1⅓)(1⅓)(1⅓) = 8(4/3)(4/3)(4/3)(4/3) = 8(64/81) ≈ 6.272

12(1⅓)^3 = 12(1⅓)(1⅓)(1⅓) = 12(4/3)(4/3)(4/3) = 12(64/27) ≈ 28.444

4(1⅓)^2 = 4(1⅓)(1⅓) = 4(4/3)(4/3) = 4(16/9) ≈ 7.111

6(1⅓)^3 = 6(1⅓)(1⅓)(1⅓) = 6(4/3)(4/3)(4/3) = 6(64/27) ≈ 18.667

3(1⅓) = 3(4/3) = 4

Now, let's substitute these values back into the expression:

(6.272 + 28.444) / 7.111 - 18.667 / 4

Adding the first two terms: 34.716 / 7.111 - 18.667 / 4

Dividing the first term: 4.885 - 18.667 / 4

Dividing the second term: 4.885 - 4.667

Subtracting: 0.218

Therefore, when a = 1⅓, the value of the expression (8a^4 + 12a^3) / (4a^2) - 6a^3 / (3a) is approximately 0.218.