Question

(5-x) (x² + 5x+25)= 5x - x³​

Answer 1

Пошаговое объяснение:

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Answer 2

To solve the equation, let's start by simplifying the expression on the left side:

(5 - x)(x² + 5x + 25) = 5x - x³

Expanding the left side using the distributive property, we get:

5(x² + 5x + 25) - x(x² + 5x + 25) = 5x - x³

Now, distribute 5 and -x to the terms inside the parentheses:

5x² + 25x + 125 - x³ - 5x² - 25x - 125 = 5x - x³

Notice that the terms "125" and "-125" cancel out:

5x² + 25x - x³ - 5x² - 25x = 5x - x³

Simplify further by combining like terms:

(5x² - 5x²) + (25x - 25x) - x³ = 5x - x³

0 + 0 - x³ = 5x - x³

Now, rearrange the equation to isolate the terms with x:

-x³ + x³ = 5x

The terms "x³" on both sides cancel out:

0 = 5x

Since we have 0 on the left side, the equation simplifies to:

0 = 5x

Therefore, the solution to the equation is x = 0.