Question

Упростить (8-х)²-х(х+8)если х=-1/12

Answer 1

Вот и все решение которое тебе необходимо

Answer 2

Как-то так, надеюсь, тебе поможет

Answer 3

To simplify the expression (8x)² - x(x + 8) when x = -1/12, we'll substitute the value of x into the expression and then perform the calculations.

Given: x = -1/12

(8x)² - x(x + 8)

Now, let's substitute x = -1/12:

(8 * (-1/12))² - (-1/12)(-1/12 + 8)

Now, calculate each term:

(8 * (-1/12))² = (-8/12)² = (-2/3)² = 4/9

(-1/12)(-1/12 + 8) = (-1/12)(-1/12 + 96/12) = (-1/12)(95/12) = -95/144

Now, plug the calculated values back into the expression:

(8x)² - x(x + 8) = 4/9 - (-95/144)

To subtract a negative value, we can change it to addition:

(8x)² - x(x + 8) = 4/9 + 95/144

To add fractions, they need to have a common denominator. The least common multiple (LCM) of 9 and 144 is 144. So, let's convert both fractions to have a denominator of 144:

(4/9) * (16/16) = 64/144

(95/144)

Now, we can add the fractions:

(8x)² - x(x + 8) = 64/144 + 95/144

Combine the fractions:

(8x)² - x(x + 8) = (64 + 95)/144

(8x)² - x(x + 8) = 159/144

The final simplified expression is 159/144.