Answer:

Option (C) is correct .
Step-by-step explanation:
As the expression given in the question as follows.

Now rationalize the expression.

Using the formula
a² - b² = (a - b) (a + b)
Using in the above


As i² = -1



Option (C) is correct .
Answer:
1. y=(x+3)^3. Zero: x=-3 multiplicity 3.
2. y=(x-2)^2 (x-1). Zeros: x=2 multiplicity 2; x=1 multiplicity 1.
3. y=(2x+3)(x-1)^2. Zeros: x=-3/2 multiplicity 1; x=1 multiplicity 2.
Step-by-step explanation:
1. y=(x+3)^3
![y=0\\ (x+3)^3=0\\ \sqrt[3]{(x+3)^3}=\sqrt[3]{0}\\ x+3=0\\ x+3-3=0-3\\ x=-3](https://tex.z-dn.net/?f=y%3D0%5C%5C%20%28x%2B3%29%5E3%3D0%5C%5C%20%5Csqrt%5B3%5D%7B%28x%2B3%29%5E3%7D%3D%5Csqrt%5B3%5D%7B0%7D%5C%5C%20x%2B3%3D0%5C%5C%20x%2B3-3%3D0-3%5C%5C%20x%3D-3)
Zero: x=-3 multiplicity 3.
2. y=(x-2)^2 (x-1)

Zeros: x=2 multiplicity 2; x=1 multiplicity 1
3. y=(2x+3)(x-1)^2

Zeros: x=-3/2 multiplicity 1; x=1 multiplicity 2.
Given: ∠ DEF
To construct: ∠TSZ ≅ ∠DEF
Construction: Consider the attachment
Step-01: Draw a line XY and choose a point S on it as a vertex of the required angle. Further marks point T such that DE = ST
Step-02: Take an arc AB from point E in ∠DEF of any length and draw at point S which cuts at point P on XY line.
Step-03: Take another arc of length AB from point B in ∠DEF and draw from point P which cuts to the previous arc at Q.
Step-04: Now, join the point SQ and extend up to Z such that EF = SZ
Hence, ∠ TSZ will be the required congruent constructed angle to∠DEF
Answer:
153.94
Step-by-step explanation:
about this amount