Question

5х+10 числитель, х-1 знаменатель, умножить на х^2 - 1 числитель, х^2-4 знаменатель

Answer 1

Использовалась формула разности квадратов.

Answer 2

To multiply these fractions, we'll need to find the common denominator and then multiply the numerators. Let's break it down step by step.

First fraction: Numerator: 5x + 10 Denominator: x - 1

Second fraction: Numerator: x^2 - 1 Denominator: x^2 - 4

To find the common denominator, we need to factorize the denominators: Denominator 1: x - 1 (already factored) Denominator 2: (x - 2)(x + 2) (difference of squares)

The common denominator is (x - 1)(x - 2)(x + 2).

Now, let's multiply the numerators: Numerator 1: 5x + 10 Numerator 2: x^2 - 1

Multiplying the numerators gives us: (5x + 10)(x^2 - 1) = 5x(x^2 - 1) + 10(x^2 - 1)

Expanding further: 5x(x^2 - 1) + 10(x^2 - 1) = 5x^3 - 5x + 10x^2 - 10

Finally, we can write the result as a fraction: Result: (5x^3 - 5x + 10x^2 - 10) / [(x - 1)(x - 2)(x + 2)]

So, the multiplied fraction is (5x^3 - 5x + 10x^2 - 10) / [(x - 1)(x - 2)(x + 2)].