(a).
The product of two binomials is sometimes called FOIL.
It stands for ...
the product of the First terms (3j x 3j)
plus
the product of the Outside terms (3j x 5)
plus
the product of the Inside terms (-5 x 3j)
plus
the product of the Last terms (-5 x 5)
FOIL works for multiplying ANY two binomials (quantities with 2 terms).
Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .
Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.
Whenever you have
(the sum of two things) x (the difference of the same things)
the product is going to be
(the first thing)² minus (the second thing)² .
So in (a), that'll be (3j)² - (5)² = 9j² - 25 .
You could find the product with FOIL, or with this easier tool.
______________________________
(b).
This is the square of a binomial ... multiplying it by itself. So it's
another product of 2 binomials, that both happen to be the same:
(4h + 5) x (4h + 5) .
You can do the product with FOIL, or use another little tool:
The square of a binomial (4h + 5)² is ...
the square of the first term (4h)²
plus
the square of the last term (5)²
plus
double the product of the terms 2 · (4h · 5)
________________________________
(c).
Use the tool I gave you in part-a . . . twice .
The product of the first 2 binomials is (g² - 4) .
The product of the last 2 binomials is also (g² - 4) .
Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .
x+4
___________
(x+2)|(x^2+6x+9)
-x^2-2x
__________
4x+9
-4x-8
__________
1
so the quotient is:
(x+2)(x+4)+1/(x+2)
Answer:
1500$ = 5.3
so she spent 56 hours
Step-by-step explanation:
Answer:
Quadrant II
Step-by-step explanation:
Since there are 360 degrees in a circle we will subtract it from 860 until we get a number less than 360
Since it less than 180 but more than 90 it will be in the second quadrant
Hope this helps! <3
Answer:
x = -19
Step-by-step explanation:
-3= 12x-5(2x-7)
Distribute
-3= 12x-10x+35
Combine like terms
-3 = 2x +35
Subtract 35 from each side
-3-35 = 2x+35-35
-38 = 2x
Divide each side by 2
-38/2 = 2x/2
-19 =x
