Answer:
x² - 4x + 3
Step-by-step explanation:
When multiplying binomials (two terms in an expression), use FOIL. It stands for the first, outside, inside, and last terms in each bracket.
(x−3)(x−1) Expand with FOIL
= x² - x - 3x + 3 Collect like terms
= x² - 4x + 3
Answer:

Step-by-step explanation:
we know that
An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)
so
The perimeter is equal to

where
b is the length side of the equilateral triangle
we have

substitute

solve for b

Find the area
The formula of area applying the law of sines is equal to

substitute the value of b




Answer:
x = 30
Step-by-step explanation:

Again, a spreadsheet or suitable calculator makes this short work.
The sum is 184.
_____
The terms being summed are ...
2·3² +3 = 2·9 +3 = 18 +3 = 21
2·4² +3 = 35
2·5² +3 = 53
2·6² +3 = 75
Their total is
21 +35 +53 +75 = 184
Answer:
t = (p^2/mn) - 1/n
Step-by-step explanation:
Here, we want to make t the subject of the formula
we start by equating both sides so as to remove the root
we have this as;
m(t + n)/t = p^2
m(t + n) = tp^2
mt + mn = tp^2
mn = tp^2 - mt
mn = t(p^2-m)
t = (p^2 - m)/mn
t = p^2/mn - 1/n