Simplify three ninths times the quantity 1 plus the square root of 25 end quantity squared minus the quantity five minus one end quantity cubed.

Question

a) −62

b) −52

c) 8

d) 52

Answer 1

First, let's simplify each part of the expression step by step:

1 + √25 = 1 + 5 = 6
5 - 1 = 4

Now, let's substitute these values back into the expression:

3/9 * (1 + √25)^2 - (5 - 1)^3
= 3/9 * 6^2 - 4^3
= 3/9 * 36 - 64
= 1/3 * 36 - 64
= 12 - 64
= -52

Therefore, the simplified expression is -52.
The answer is b) -52.