Question

A(9a^2+6a)-4a(9a^2-2a)

Answer 1

9a³+6a²-36a³+8a²= 14a²-27a³

Answer 2

$a(9 {a}^{2} +6a)-4a(9a^2-2a) = \\ = 9 {a}^{3} + 6 {a}^{2} - 36 {a}^{3} + 8 {a}^{2} = \\ = 14 {a}^{2} - 27 {a}^{3} .$

Answer 3

To simplify the expression A(9a^2 + 6a) - 4a(9a^2 - 2a), you can use the distributive property (also known as the distributive law or the distributive property of multiplication over addition/subtraction).

Here's how you can simplify the expression step by step:

1. Distribute A into the terms inside the first set of parentheses: A(9a^2) + A(6a)

   This gives you: 9a^2A + 6aA

2. Distribute -4a into the terms inside the second set of parentheses: -4a(9a^2) - (-4a)(2a)

   When you distribute the negative sign, it becomes: -4a(9a^2) + 8a^2

Now, you have the simplified expression: 9a^2A + 6aA - 4a(9a^2) + 8a^2

To simplify further, you can combine like terms:

9a^2A + 6aA - 4a(9a^2) + 8a^2

Combine the terms with 'a' and 'a^2' separately:

(9A + 6A)a^2 - 4a(9a^2) + 8a^2

Combine the 'A' terms:

15Aa^2 - 4a(9a^2) + 8a^2

Now, distribute -4a into 9a^2:

15Aa^2 - 36a^3 + 8a^2

Finally, combine like terms:

(15A + 8)a^2 - 36a^3

So, the simplified expression is: (15A + 8)a^2 - 36a^3