Question

-4•(-3/4)^2-(-1/3)^2​

Answer 1

Ответ:

-2 13/36

Объяснение:

-4·(-3/4)²-(1/3)²=-4·3²/4² -1²/3²=-9/4 -1/9=-2 9/36 -4/36=-2 13/36

Answer 2

To simplify the expression, let's break it down step by step:

First, we'll evaluate the squares of the fractions:

(-3/4)^2 = (-3/4) * (-3/4) = 9/16

(-1/3)^2 = (-1/3) * (-1/3) = 1/9

Next, we substitute these values back into the original expression:

-4 * (9/16) - (1/9)

Multiplying -4 by 9/16:

= (-4 * 9/16) - (1/9) = -36/16 - 1/9

Now, let's find the common denominator for the two fractions, which is 144:

= (-36/16) * (9/9) - (1/9) * (16/16) = (-36 * 9)/(16 * 9) - (1 * 16)/(9 * 16) = -324/144 - 16/144

Now, we can subtract the fractions:

= (-324 - 16)/144 = -340/144

We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4:

= (-85/36)

Therefore, the simplified value of the expression -4 * (-3/4)^2 - (-1/3)^2 is -85/36.