Question

(х^2 + 2х + 25)(х+5)

Answer 1

X^3+7х^2+35x+125 это упрощение выражения. Использовала распределительное свойство

Answer 2

To multiply the expression (x^2 + 2x + 25)(x + 5), you can use the distributive property (also known as the FOIL method). Here's how you can do it step by step:

1. First, multiply each term in the first polynomial (x^2 + 2x + 25) by each term in the second polynomial (x + 5):

   (x^2) * (x) + (x^2) * (5) + (2x) * (x) + (2x) * (5) + (25) * (x) + (25) * (5)

2. Now, simplify each of these products:

   x^3 + 5x^2 + 2x^2 + 10x + 25x + 125

3. Combine like terms:

   x^3 + (5x^2 + 2x^2) + (10x + 25x) + 125

4. Simplify further:

   x^3 + 7x^2 + 35x + 125

So, the product of (x^2 + 2x + 25)(x + 5) is x^3 + 7x^2 + 35x + 125.