Explanation

if P(x) = 6x^2 + 4x + 5 then P(2) =  

X = 2

= 6(2^2) + 4x2 + 5 

=24 + 8 +5

= 37

Explanation

We are given: (-2x)^3

To solve this, we need to cube both -2 and x separately:

(-2)^3 * x^3

Calculating the cube of -2:

(-2) * (-2) * (-2) = -8

So, the expression becomes:

-8 * x^3

Explanation

Note: The answer given in the FPSC answer key is (a) but the actual answer is (b)

To simplify the expression (x^(1/2)) * (x^(-1/2)), we can use the rule of exponents:

x^a * x^b = x^(a+b)

Applying this rule, we get:

(x^(1/2)) * (x^(-1/2)) = x^(1/2 + (-1/2)) = x^0

Any number raised to the power of 0 is equal to 1.

Therefore, (x^(1/2)) * (x^(-1/2)) = 1.

Explanation

To solve the equation:

x​/2−x​/4=2

we can start by finding a common denominator for the terms on the left side.

The common denominator for $frac{x}{2}$ and $frac{x}{4}$is 4, so we rewrite the equation as:

$$frac{2x}{4} - frac{x}{4} = 2$$

Now, combine the fractions on the left side:

2x−x​/4=2

This simplifies to:

x/4​=2

Now, multiply both sides by 4 to isolate $x$

$$x = 8$$

Explanation

Note: The answer given in the FPSC answer key is (c) but the actual answer is 512.