Question

Evaluate 6 - 2(a^2 – 63)^2 when a = 4 and b = 2.

A. 4(16 - 4)^2 = 4(144) = 576
B. 6-2(44 - 26) = 6-2(256 - 64) = 6-2(192) = -378
C. 6-2(16 - 8)^2 = 6-2(64) = -122
D. 6-2(16 - 6)^2 = 6-2(10)^2 =6-2(100) = 6-200 = -194

Answer 1

After substituting a = 4 into the expression and simplifying step-by-step, the correct evaluation of 6 - 2(a² – 63)² is -4412.

Step-by-step explanation:

To evaluate the expression 6 - 2(a² – 63)² with the given values a = 4 and b = 2, we must substitute the value of 'a' into the expression and simplify. There seems to be a typo in the question because 'b' does not appear in the expression, so we will ignore it and proceed with 'a' only.

Firstly, calculate the value inside the parentheses:

a² – 63 = (4)² – 63 = 16 – 63 = -47

Now, square the result:

(-47)² = 2209

Then, multiply by -2:

-2 × 2209 = -4418

Finally, add 6 to the product:

6 - 4418 = -4412

So, the correct evaluation of the expression is -4412.