6 *20 = 120
8 *60 = 480
120 + 480 = 600 pounds total
We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
Complete question :
The sugar maple tree in Joshua's yard is 1/4 the age of the oak tree in his yard. The sugar maple tree is 20 years old. How old is the oak tree?
Answer:
80 years
Step-by-step explanation:
Given that :
Sugar maple tree = 1/4 age of oak tree
Age of sugar maple tree = 20
Age of oak tree = x
20 = 1/4 * x
20 = x / 4
Multiply both sides by 4
20 * 4 = (x / 4) * 4
80 = x
Hence, Age of oak tree = 80 years
You jogged 2/3 of a mile. 1/3 plus 1/3 equals 2/3.
