6x³y + 6xy − 12x² − 12 = 6(xy-2) * (x²+1)
(x²+1) is a factor of 6x³y + 6xy − 12x² − 12
Explanation: “The distributive property is where a number or value is distributed into a whole equation. Based on the work below as you can see I “distributed” 5 to (3m+4n) meaning I multiplied 5&3m and 5&4n, when I multiply 5&3 that give me 15, and when I multiply 5&4 that gives me 20. So when finally simplified my new equation is 15m+20n”
Make sure when you is the distributive property that you always add the variables because it will be wrong.
Answer:
a and c
Step-by-step explanation:
The volume (V) of a cuboid is
V = lwh ( l is length, w is width, h is height )
The volume is given as 210 cm³
Check each of the dimensions given to determine which give the correct volume
a
V = 15 × 2 × 7 = 210 ← correct volume
b
V = 14 × 3 × 7 = 294 ← incorrect volume
c
V = 7 × 3 × 10 = 210 ← correct volume
Hence a and c could be the dimensions of the box
The expression that models the length of the second leg of the triangle is <u>2x - 3.</u>
<u><em>Recall</em></u>:
The area of a triangle = 
<em><u>Given</u></em>:
Area of triangle = 
Length of one of the legs = 3x + 1
Therefore, it means that multiplying both legs should give us:

To find the expression that models the other leg, divide
by 3x + 1:



Therefore, the expression that models the length of the second leg of the triangle is <u>2x - 3.</u>
<u></u>
<u></u>
Learn more here:
brainly.com/question/20712284
Answer:
2
Step-by-step explanation: