Question

1. evaluate:

a. 25 + (30÷6)²
b. 86² − 3(2 + 5)÷8 + 3
answer -------
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Explanation:

Part a

Step1: Solve innermost parentheses

$30\div6=5$

Step2: Calculate the squared term

$5^2=25$

Step3: Add inside brackets

$5+25=30$

Step4: Multiply by the outer term

$2\times30=60$

Part b

Step1: Solve innermost parentheses

$2+5=7$

Step2: Multiply inside the brackets

$3\times7=21$

Step3: Calculate the squared term

$6^2=36$

Step4: Subtract inside brackets

$36-21=15$

Step5: Multiply by the outer term

$8\times15=120$

Step6: Divide by 8

$120\div8=15$

Step7: Add the final term

$15+3=18$

Answer:

a. 60
b. 18