Question

What is the simplified form of each expression?(6 + 3)^2 - 42^3 + (14 - 4) - 2

Answer 1

1) 77

2) 2

Explanations:

1) The first expression is:

`(6+3)^2-4`

Note: 6 + 3 = 9

The expression then becomes:

`9^2-4`

Note that 9² = 9 x 9 = 81

The expression then becomes:

`81\text{ - 4 = 77}`

2) The second expression is :

`2^3\text{ + (14-4) - 2}`

Note: 2³ = 8 and 14 - 4 = 10

The expression then becomes:

`\begin{gathered} 8\text{ + 10 - 2} \\ -2\text{ -2 = -4} \end{gathered}`