14. what is the value of 3a + 6|c|?

a. 27

b. –63

c. 9

d. 63

C

Step-by-step explanation:

Given 3A + 6|C|

Finding 3A where A=-9⇒-9×3= -27

Finding 6|C| where |C| is absolute value for |-6 |

6|C|= |6×-6|  =36

Hence 3A + 6|C| = -27 +36 =9

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

step-by-step explanation: