Question

What is sum of 67³ and 89³​

Answer 1

Answer:

1,005,732

Step-by-step explanation:

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Answer 2

Hey dear♥️

COMMON PROCESS :

67³ + 89³

= (67×67×67) + (89×89×89)

= 300763 + 704969

= 1005732

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USING IDENTITY :

This equation is in the form of a³ + b³

so using identity,

a³ + b³ = (a + b) (a² - ab + b²)

67³ + 89³ = (67 + 89) [67² - (67×89) + 89²]

RHS = (67 + 89) [67² - (67×89) + 89²]

= 156 [ 4489 - 5963 + 7921]

= 156 × 6447

= 1005732

hence, 67³ + 89³ = 1005732

Thank u :)