Answer:
A) all values of x, and all values of y
B) (3a + 4b) (9a² − 12ab + 16b²)
Step-by-step explanation:
(x² + y²)² = (x² − y²)² + (2xy)²
x⁴ + 2x²y² + y⁴ = x⁴ − 2x²y² + y⁴ + 4x²y²
x⁴ + 2x²y² + y⁴ = x⁴ + 2x²y² + y⁴
27a³ + 64b³
(3a)³ + (4b)³
(3a + 4b) (9a² − 12ab + 16b²)
Let's go through this problem step by step while bearing in mind the concept of
PEMDAS.
Step 1:

Declaration of the expression. Nothing wrong here yet.
Step 2:

Clarise evaluated what's inside the parenthesis first - which was the right thing to do! There are no mistakes in this step.
Step 3:

In this step she subtracted first. This should not be the case! PEMDAS tells us that the exponents and division gets higher priority than subtraction. This is therefore the first mistake Clarise makes.
Step 4:

In this step Clarise evaluates the exponent. This does not violate any rules (relative to the previous expression) since PEMDAS tells us that exponents take higher priority than division.
Step 5:

(Clarise's final answer)
In Clarise's final step, she manages to get the wrong answer! Dividing 51.68 by 0.16 would give us 323. This is another mistake of Clarise.
Looking at the choices, we can now identify what mistakes Clarise made:
-She subtracted before evaluating the exponents
-She subtracted before she divided
-She divided incorrectly
Answer:

Step-by-step explanation:
In
,
represents a constant related to the period of the function. Here's how it's related:
, where
is the period of the function.
We're given
, so solving for
:

-320. The negative sign represents loss. In all of the other cases, values are either being added or not changed at all.