Question

Simplify: (-2) +26+(-8+6)-2-(-10) – 22 Evaluate each expression below when x = 4, y = 2 and 7 =-1:

Answer 1

We are given the following expression

$(-2)^2+26\div(-8+6)\cdot2-(-10)-2^2$

Recall that the order of operations (PEMDAS) is given by

1st = P = Parentheses

2nd = E = Exponents

3rd = MD = Multiply or Divide

4th = AS = Addition or Subtraction

Let us follow the above PEMDAS rule to simplify the given expression

$\begin{gathered} (-2)^2+26\div(-8+6)\cdot2-(-10)-2^2 \\ -2^2+26\div-2\cdot2+10-2^2 \\ 4^{}+26\div-2\cdot2+10-4 \\ 4^{}-13\cdot2+10-4 \\ 4^{}-26+10-4 \\ -26+10 \\ -16 \end{gathered}$

Therefore, the simplified expression is -16