Question

Evaluate (12)^3 + (-7)^3 + (-5)^3 using suitable identity

Answer 1

given :- (12)³ + (-7)³ + (-5)³

using identity a³ + b³ + c³ = 3abc

here,

• a = 12
• b = -7
• c = -5

therefore (12)³ + (-7)³ + (-5)³ = 3(12)(-7)(-5)

= 3(420)

= 1260

Answer 2

The value of $(12)^3 + (-7)^3 + (-5)^3$ is 1260.

Step-by-step explanation:

We know that according to a property in polynomial.

If $x+y+z=0$ then the value of $x^3+y^3+z^3= 3xyz$.

In the given expression $(12)^3 + (-7)^3 + (-5)^3$ , x= 12 , y= -7 and z= -5 .

Here , $x+y+z=12-7-5=0$

Then, $(12)^3 + (-7)^3 + (-5)^3= 3(12)(-7)(-5)=1260$

Therefore , the value of $(12)^3 + (-7)^3 + (-5)^3$ is 1260.

# Learn more :

Solve this  question using suitable property(associative,distributive,closure,commutative)

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