Question

solve without calculating the cubes and state the property to use. -
i- (-12)³+(7)³+(5)³ ii- (28)³+(-15)³+(13)³ ​

Answer 1

Answer:

i)-1260 ii)16380

Step-by-step explanation:

Let's move to some basic concepts of expansion,

we have learnt that if a+b+c=0, then a^3+b^3+c^3=3abc.

in (i),

let a=-12,

b=7,

c=5

a+b+c =0 in this case,

and hence, (-12)^3+(7)^3+(5)^3=3(-12)(7)(5)=-1260.

in (ii),

let a=28

b=-15,

c=-13

a+b+c=0 in this case,

and hence, (28)^3+(-15)^3+(-13)^3=3(-13)(-15)(28)=16,380.

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