Which expression is equivalent to 4 ( x + 1 ) – 7 ( x + 3 ) ? a. 11 x + 25 b. 11 x − 17 c. − 3 x − 17 d. − 3 x + 25

C. − 3x − 17

Step-by-step explanation:

4(x + 1) - 7(x +3)

Distribute:

4(x + 1) = 4x + 4

4 · x = 4x

4 · 1 = 4

- 7(x + 3) = - 7x - 21

-7 · x = -7x

-7 · 3 = -21

4x + 4 - 7x - 21

4x - 7x + 4 - 21

-3x - 17

step-by-step explanation: the answer is 27. first multiply .32 by 25 which equals 8. then add 8 to 25 which gives you 33. then you subtract that from 6 since she gave 6 to her brother.

,, add !

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