Question

Сократите дробь 81-√c/9+c

Answer 1

$81 - \frac{1}{9} \times \sqrt{c} + c$

ВОТ ДЕРЖИ

Answer 2

To simplify the fraction (81 - √c) / (9 + c), we can rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator, which is (9 - √c).

Here's the step-by-step process:

Step 1: Rationalize the denominator Multiply both the numerator and the denominator by (9 - √c):

[(81 - √c) / (9 + c)] * [(9 - √c) / (9 - √c)]

Step 2: Distribute and simplify Apply the distributive property:

= [(81 * 9) - (81 * √c) - (√c * 9) + (√c * √c)] / [(9 * 9) - (9 * √c) + (9 * √c) - (√c * √c)]

= [(729 - 81√c - 9√c + c)] / [81 - c]

Step 3: Combine like terms Combine the terms with √c in the numerator:

= [(729 - 90√c + c)] / [81 - c]

Step 4: Final simplified fraction The fraction (81 - √c) / (9 + c) is simplified to:

= (729 - 90√c + c) / (81 - c)