Answer:
5/8
Step-by-step explanation:
A. 2/3 × 4/5 × m = 1/3 B. 4/5 × 2/3 × m = 1/3
8/15 × m = 1/3 8/ 15 × m = 1/3
m = 1/3 ÷ 8/15 m = 1/3 ÷ 8/15
m = 1/3 ×15/8 m = 1/3 × 15/8
m = 5/8 m = 5/8
C. 2/3 × 4/5 = 1/3 ÷ m
8/15 = 1/3 × 1/m
8/15 = 1/3m cross multiply
(3m) × (8) = 15
24m = 15
m = 15/24
m= 5/8
Answer:
Step-by-step explanation:
There are no pics
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)
