Question

(а+2п в квадрате)(а в квадрате+п)

Answer 1

(a+2п²)(а²+п)=а*а²+ап+2а²п²+2п²*п=а³+ап+2а²п²+2п³

Answer 2

(а + 2п^2) (а^2 + п) = а^3 + ап + 2п^2а^2 + 2п^3.
Удачи)))

Answer 3

To simplify the expression (а + 2п)²(а² + п), you can follow these steps:

Step 1: Expand (а + 2п)² using the formula (a + b)² = a² + 2ab + b². Step 2: Multiply the result from Step 1 with (а² + п).

Let's proceed with the calculation:

Step 1: (а + 2п)² = а² + 2 * а * 2п + (2п)² = а² + 4ап + 4п²

Step 2: (а + 2п)²(а² + п) = (а² + 4ап + 4п²)(а² + п)

Now, we'll apply the distributive property to multiply the two expressions:

= а² * а² + а² * п + 4ап * а² + 4ап * п + 4п² * а² + 4п² * п

Now, let's simplify each term:

= а^4 + а²п + 4а³п + 4ап² + 4а²п² + 4п³

So, the simplified expression is: а^4 + а²п + 4а³п + 4ап² + 4а²п² + 4п³