Question

Упрастите выражение (Х-15)²-(х²-30) А5 Б25 В30 Г225 И объясните

Answer 1

(х-15)²-(х²-30) = х² -30х +225 -х² +30 = -30х + 255

Answer 2

Simplifying the Expression (x-15)² - (x²-30)

To simplify the given expression (x-15)² - (x²-30), we can expand and combine like terms.

First, let's expand the squared term using the formula (a-b)² = a² - 2ab + b².

So, (x-15)² = x² - 2*15x + 15² = x² - 30x + 225.

Now, let's simplify the given expression:

(x-15)² - (x²-30) = (x² - 30x + 225) - (x² - 30).

We can simplify further by distributing the negative sign inside the parentheses:

(x² - 30x + 225) - (x² - 30) = x² - 30x + 225 - x² + 30.

Now, let's combine like terms:

x² - 30x + 225 - x² + 30 = -30x + 255.

So, the simplified expression is -30x + 255.

Explanation

The given expression (x-15)² - (x²-30) was simplified to -30x + 255. This was achieved by expanding the squared term and then combining like terms.