Factorise 3(2x + 3y)^2 - 8x - 12y
First, we FOIL it.
FOIL: First, Outside, Inside, and Last
(2x + 3y)(2x + 3y)
First: 2x*2x = 4x^2
Outside: 2x*3y = 6xy
Inside: 3y*2x = 6xy
Last: 3y*3y = 9y^2
Before, we move on, we have to combine any like terms.
6xy + 6xy = 12xy
Then, when we've finished FOILing it, we place a pair of parentheses around these.
3 (9y^2 + 4x^2 + 12xy) -8x - 12y
Now, we can distribute the 3.
3 * 9y^2 = 27y^2
3 * 4x^2 = 12x^2
3 * 12xy = 36xy
Lastly, we combine any like terms if there are any.
Expression: 27y^2 + 12^2 + 36xy - 8x - 12y
None of these all have a greatest common factor for the whole set.
So, therefore, the factorised form of 3(2x + 3y)^2 - 8x - 12y is:
27y^2 + 12x^2 + 36xy - 8x - 12y
Answer:
Step-by-step explanation:
please include a picture of the question! :)
Answer:
<em>Volume: Option A - Around 85.33 (in^3)</em>
Step-by-step explanation:
Let us take a look at the problem. Here we are given the circumference of the bowling ball, provided it is in the shape of a sphere.
Our first step can be to note the formula of circumference, applicable to both a sphere and a circle:
C = 2 * π * r - Where r = radius
Now let us substitute the known value of the circumference as to solve for r, or the radius:
(8π) = 2πr
r = 8π/2π
r = 4
Now take a look at the spherical formula for volume of a sphere:
V = 4/3 * π * r^3 - Where r is yet again the radius
Let us substitute the known value of the radius as to solve for the volume, or in other words to solve for the answer:
V = 4/3 * π * (4)^3
V = 4/3 * π * 64
V = 256/3 * π
V = (Around) 85.33π (in)^3
*Don't forget the units
If it's $50 a meter, then the answer is:
x is the cost per meter
16x + 12x + 8x + 2x
But that answer is 5,075,020,100 and that is a ridiculously high number. I hope this helps even if it doesn't answer the question.
Answer:
Opposite sides are equal
Diagonals bisect each other
Step-by-step explanation:
