It Does Not Matter Where You Put The Line, As The Slope Stays The Same. So, We Can Say That One Point Is (3,0)
(3,0) and (6,6)
So, The Slope Is 2.
2 is less than is greater than or equal to 4 and less than or equal to 9.
The LCM of 15 and 6 is 30
5x6
12x2
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)
Answer:
The answer is D
Step-by-step explanation: