WILL GIVE BRAINILY Exit Card - Adding Integers Find the answer for each expression by showing how you use the Rules of Adding Integers.
1) 8 + (-4) 5) 16 + 9
2) (-4) + (-11) 6) (-7) + (-21)
3) (-13) + 18 7) (-14) + 6
4) 21 + (-20) 8) (-7) + 15 + (-6)

a) -303

b) 437

c) -1771

d) 1150

Step-by-step explanation:

hello from mrbilldoesmath!

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

discussion:

in general, the factorization of a^3 + b^3 is

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

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

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

you,

mrb

(a + b) (a^2 - a b + b^2)