Answer:
a³ + b³
Step-by-step explanation:
Given
(a + b)(a² - ab + b²)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a² - ab + b²) + b(a² - ab + b²) ← distribute both parenthesis
= a³ - a²b + ab² + a²b - ab² + b³ ← collect like terms
= a³ + b³
Answer:
x = 3,-5 is correct.
Step-by-step explanation:
The Zero Product Property:
The Zero Product Property simply tells that if a*b=0, it implies that either a=0 or b=0 (or the both of them must be equal to zero). The product of the factors is zero if and only if the one or more of factors is zero. This is particularly useful for solving the quadratic equations .
In the given question the quadratic equation is (x-3)(x+5)=0
from the Zero Product Property, it is clear that x-3 =0 or x =3
x+5 =0 or x=-5
Therefor x = 3,-5 Hence option 3 is correct.
Area of parallelogram = base x height
area of large parallelogram
8 x 12 = 96
area of small parallelogram
4 x 6 = 24
96 - 24 = 72
the area of the shaded region is 72 m^2
All the names for the mathematical statement given as pi over 2 are π/2 rad and 90 degrees
<h3>How to determine all the names for pi over 2?</h3>
The mathematical statement is given as:
All names for pi over 2
Rewrite the mathematical statement as follows:
All names for pi/2
This can further be rewritten as:
All names for π/2
In the measurements of angles.
The value of π is 180 degrees
So, we have
π/2 = 180 degrees/2
Evaluate the quotient
π/2 = 90 degrees
Hence, all the names for the mathematical statement given as pi over 2 are π/2 rad and 90 degrees
Read more about radian angles at:
brainly.com/question/10443805
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Answer:
4 and 16
Step-by-step explanation:
