Question

(x-3)+(3-x)(x+3)=(x+2)-x​

Answer 1

Объяснение:

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Answer 2

Let's simplify the given equation step by step:

(x - 3) + (3 - x)(x + 3) = (x + 2) - x

First, let's expand the expressions in the parentheses:

(x - 3) + [(3 - x)(x + 3)] = (x + 2) - x

Now, expand (3 - x)(x + 3) using the distributive property:

(x - 3) + (3x + 9 - x^2 - 3x) = (x + 2) - x

Simplify the terms within the brackets:

(x - 3) + (9 - x^2) = (x + 2) - x

Next, let's combine like terms on both sides of the equation. First, simplify the left side:

x - 3 + 9 - x^2 = (x + 2) - x

Combine like terms on the left side:

6 - x^2 = (x + 2) - x

Now, let's simplify the right side:

6 - x^2 = x + 2 - x

Notice that the "x" terms on the right side cancel out:

6 - x^2 = 2

Now, we have a quadratic equation. Let's isolate the x^2 term:

-x^2 = 2 - 6

-x^2 = -4

Now, multiply both sides by -1 to make the coefficient of x^2 positive:

x^2 = 4

Finally, take the square root of both sides:

x = ±2

So, the solution to the equation is:

x = 2 or x = -2