Answer:
a.) a² + b² + c ² + 2ab + 2ac + 2bc
b.) a² + b² + c² - 2ab - 2 ac + 2bc
c ) a² + b² + c² + 2ab - 2ac - 2bc
d.) a² + b² + c² - 2ab + 2ac - 2bc
Step-by-step explanation:
- Use ( a + b + c )² = a² + b² + c² + 2 × ab + 2 × ac + 2 × bc to expand all these expression
a) ( a + b + c )²
= a² + b² + c² + 2 × ab + 2 × ac + 2 × bc
= a² + b² + c ² + 2ab + 2ac + 2bc
b.) ( a - b - c )
= a² + ( - b )² + ( - c)² + 2a ( -b ) + 2a(-c) + 2(-b)(-c)
= a² + b² + c² - 2ab - 2 ac + 2bc
c.) ( a + b - c )²
= a² + b² + ( -c)² + 2ab + 2a ( - c) + 2 b( -c)
= a² + b² + c² + 2ab - 2ac - 2bc
d.) (a - b + c ) ²
= a² + ( -b)² + c² + 2a(-b) + 2ac + 2c( -b)
= a² + b² + c² - 2ab + 2ac - 2bc
Answer:
2x+6 since the +3 and -3x cancel each other out your only left with 2x
Answer:7 x -6
Step-by-step explanation: 7 x -6= -42
7 + -6= 1
becasue different signs subtract and keep the sign of the bigger number since the 7 is positive and 6 is negative u subtrac and 7 is bigger than 6 so the answer is gonna be positive. Hope this was helpful <3
The domain of the function where the function is decreasing is (-∞, 1). Then the correct option is D.
<h3>What are domain and range?</h3>
The domain means all the possible values of the x and the range means all the possible values of the y.
The function is given below.
f(x) = x² - 2x + 5
The equation can be written as
f(x) = x² - 2x + 1 + 4
f(x) = (x - 1)² + 4
Then the domain of the function where the function is decreasing will be (-∞, 1).
Then the correct option is D.
More about the domain and range link is given below.
brainly.com/question/12208715
#SPJ1
Subtract each terms.
2.7 - 1.5 = 1.2
3.9 - 2.7 = 1.2
From these, we can see that they add 1.2 each time. 8.7 is the last number, so each numbers in the sequence is.
1.5, 2.7, 3.9, 5.1, 6.3, 7.5, 8.7
Add all of these numbers together.
1.5 + 2.7 + 3.9 + 5.1 + 6.3 + 7.5 + 8.7 = 35.7
35.7 is your answer
hope this helps
