Question

evaluate:12^3+13^3-25^3 using identities.​

Answer 1

Answer:

-11700

Step-by-step explanation:

Concept= Algebraic Expansion

Given= Numerical equation

To find= value using expansion identity

Explanation=

We have been given the expression 12^3+13^3-25^3 and we need to find the value using identity.

We know that in algebra a^3 + b^3 +c^3 = 3abc if a+b+c=0

here a, b, c are the constant values.

So according to 12^3+13^3-25^3 this equation value of

a= 12, b=13, c= -25

Checking whether the condition a+b+c=0 satisfies

12+13+(-25) = 12+13-25=0

since the condition satisfies the value of 12^3+13^3-25^3=3*12*13(-25)

=> -11700

12^3+13^3-25^3= -11700

To check=

12^3= 1728

13^3= 2197

25^3= 15625

12^3+13^3-25^3= 1728+2197-15625= -11700

Hence the value of 12^3+13^3-25^3 using identity is -11700.

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