Mathematics, 05.08.2020 08:01 jadenja712
without actually calculating the cubes find the value of each of the following (-28)^3+(12)^3+(16)^3
Answers: 2
Given.
Definition of addition.
Cubic perfect binomial.![(12)^{3}+[(-1)\cdot (12)]^{3}+(16)^{3} + [(-1)\cdot (16)]^{3}+3 \cdot (-12)^{2}\cdot (-16) + 3\cdot (-12)\cdot (-16)^{2}](/tpl/images/0717/6355/16e08.png)
Commutative property/
![(12)^{3} + (-1)^{3}\cdot (12)^{3} + 16^{3} +(-1)^{3}\cdot (16)^{3} + (-3)\cdot [(-12)^{2}\cdot (16) +(-16)^{2}\cdot (12)]](/tpl/images/0717/6355/d659b.png)
Distributive property/
![(12)^{3} + [-(12)^{3}]+(16)^{3} + [-(16)^{3}]+ (-3)\cdot [(-12)^{2}\cdot (16)+(-16)^{2}\cdot (12)]](/tpl/images/0717/6355/859bd.png)
![(-3)\cdot [(-12)^{2}\cdot (16) + (-16)^{2}\cdot (12)]](/tpl/images/0717/6355/800f9.png)
Existence of the additive inverse/Modulative property for addition.![(-3) \cdot [(12)^{2}\cdot (16)+(16^{2})\cdot (12)]](/tpl/images/0717/6355/c920f.png)
Distributive property.
  
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without actually calculating the cubes find the value of each of the following (-28)^3+(12)^3+(16)^3...
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