Answer:
1) -15+8i
2) x^2+2x-5
Step-by-step explanation:
1) apply perfect square formula
(4i)^2+2*4i1+1^2
then simplify
2)remove parentheses
x+1+(x-2)(x+3)
expand (x-2)(x+3)
x+1+x^2+x-6
simplify x+1+x^2-6 = x^2+2x-5
Factor Tree of 96 to Calculate the Factors
On splitting 12 further and writing it as multiples of numbers it would be 6 x 2. On splitting 6 further and writing it as multiples of numbers it would be 3 x 2. Altogether expressing the number in terms of prime factors would be 2 x 2 x 2 x 2 x 2 x 3. (NOT MY WORDS ITS GOOGLES WORD)
Answer:
x = 20
Step-by-step explanation:
Assuming that both 6x and 120 are equal to each other, you can use simple algebra to find out what x is
6x = 120 (divide both sides by 6 to isolate x)
x = 20
Answer: -12 x^2 - 3x + 27
In this question, there are two function of f(x) and g(x)
f(x)= -9 x^2 - 7x + 12
g(x)= 3x^2 -4x -15
The question is about f(x)- g(x). To answer this, you just need to replace the question with the function. Don't forget to apply the minus to all the product inside the function. The calculation would be:
f(x)- g(x)=
(-9 x^2 - 7x + 12) -(3x^2 -4x -15)=
-9 x^2 - 7x + 12 (-3x^2 +4x +15)=
-12 x^2 - 3x + 27
Your answer will be f(x) = 5 because, if we look at the table, no matter what x value we plug into the function, we will always get 5.