Question

28-4 times -5 squared over -8 times negative 5-2 times -8 squared

Answer 1

Let's break down the expression step by step:

The expression is:

\[
\frac{28 - 4 \times (-5)^2}{-8 \times (-5) - 2 \times (-8)^2}
\]

Now, let's calculate each part of the expression.

1. Calculate \((-5)^2\):
\[
(-5)^2 = 25
\]

2. Substitute and calculate \(4 \times (-5)^2\):
\[
4 \times 25 = 100
\]

3. Now compute the numerator:
\[
28 - 100 = -72
\]

Next, let's calculate the denominator.

4. Calculate \(-8 \times (-5)\):
\[
-8 \times (-5) = 40
\]

5. Calculate \((-8)^2\):
\[
(-8)^2 = 64
\]

6. Substitute and calculate \(2 \times (-8)^2\):
\[
2 \times 64 = 128
\]

7. Now compute the denominator:
\[
40 - 128 = -88
\]

Now we can put the numerator and the denominator together into the fraction:

\[
\frac{-72}{-88}
\]

Both the numerator and denominator are negative, so we can simplify:

\[
\frac{-72}{-88} = \frac{72}{88}
\]

Now, simplify \(\frac{72}{88}\) by finding the greatest common divisor (GCD). The GCD of 72 and 88 is 8.

8. Dividing both numerator and denominator by 8:
\[
\frac{72 \div 8}{88 \div 8} = \frac{9}{11}
\]

Therefore, the final simplified result of the expression is:

\[
\frac{9}{11}
\]