You must FOIL (first, outside, inside, last)
First (The first number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
Outside (The outside number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
-2xy
Inside (The inside number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
-12xy
Last (The last number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
Now add/subtract each FOIL answer according to its sign
- 2xy - 12xy +
Combine like terms
+
- 14xy
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
, option B
Step-by-step explanation:
Complex numbers:
The most important relation that involves complex numbers is given by:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this question:
The solutions are:
We have to find the polynomial. All option have . So
The correct answer is given by option b.
I would use a chart to solve this problem.
This is a good wya to organize your information.
Down the left side, list the people involved.
I put Bob first and the mom second but the order doesn't matter.
Since Bob's mom is 3 times older than Bob, we can represent
Bob's age now as x and Bob's mom's age now as 3x.
Bob's age in 12 years will be x + 12 and Bob's mom's
age in 12 years will simply be 3x + 12.
Since the second sentence starts with in 12 years,
we will be using the information from our second column.
In 12 years, Bob's mom's age, 3x + 12, will be,
equals, twice of her son's age, 2(x + 12).
Solving from here, we find that x = 12.
This means that Bob's age now is 12 and his mom is 36.
The chart is attached below.
