Question

What is the value of this expression if a = -7 and b = -3?

a³ – 8²
A) -30
B) -12
C) -352
D) -334

Answer 1

When substituting a = -7 and b = -3 into the expression a³ − b², the value is calculated to be -352, matching option C.

Step-by-step explanation:

To find the value of the expression given that a = -7 and b = -3, we need to substitute these values into the expression and simplify:

Expression: a³ − b²

First, calculate the value of a³:

(-7)³ = -7 × -7 × -7 = -343

Next, calculate the value of b²:

(-3)² = -3 × -3 = 9

Now subtract the value of b² from the value of a³:

-343 − 9 = -352

Therefore, the value of the expression when a = -7 and b = -3 is -352, which corresponds to option C.