Question

3x2-9x2/x2-4:1-9x2/x2-9

Answer 1

Объяснение:

решение на калькуляторе

Answer 2

It looks like you've provided a mathematical expression that involves fractions and arithmetic operations. To help you solve this expression, I'll break it down step by step:

Expression: (3x^2 - 9x^2) / (x^2 - 4) : (1 - 9x^2) / (x^2 - 9)

Step 1: Simplify the expressions within each pair of parentheses.

3x^2 - 9x^2 = -6x^2 x^2 - 4 = (x + 2)(x - 2) 1 - 9x^2 = -(9x^2 - 1) x^2 - 9 = (x + 3)(x - 3)

So, the expression becomes:

(-6x^2) / ((x + 2)(x - 2)) : (-(9x^2 - 1)) / ((x + 3)(x - 3))

Step 2: Invert and multiply (division by a fraction is equivalent to multiplying by its reciprocal).

(-6x^2) / ((x + 2)(x - 2)) * ((x + 3)(x - 3)) / (-(9x^2 - 1))

Step 3: Cancel out common factors if possible.

(-6x^2) and (9x^2 - 1) do not share common factors, so we can't cancel anything further.

Step 4: Multiply the numerators and denominators.

(-6x^2) * ((x + 3)(x - 3)) / (-(9x^2 - 1) * ((x + 2)(x - 2)))

Step 5: Distribute and simplify.

(-6x^2)(x^2 - 9) / (-(9x^2 - 1)(x^2 - 4))

Step 6: Expand and simplify further.

(-6x^4 + 54x^2) / (-9x^4 + 37x^2 - 4)

So, the simplified expression is:

(-6x^4 + 54x^2) / (-9x^4 + 37x^2 - 4)