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:
1 And 3
Step-by-step explanation:
A. It is 176^2 or 30976 or 3.0976 x 10^4 whatever your prefer
B. 972
C. It is 0.00548697 or 4/729 or (2/27)^2 whatever your prefer
D. It is -16 x 20^4 or -2560000 whatever your prefer
E. x^4 y^4
F. h^10 k^6
G. m^11 n^15
H. b^2 d^6
....,,,,,,, you welcome !!!!!! :)
20/15=N/27
Do cross multiplication.
20x27=540
540/15=39
So the answer ia 39.