Question

Q24. Using a suitable identity, determine the value of:
A) (17)3 + (-12) + (-5)3
B) 64m2- 343​

Answer 1

Correct Question :

Using a suitable identity, determine the value of:

A) (17)³ + (-12)³+ (-5)³

B) 64m³ - 343

Answer :

A) Let x = 17, y = -12, z = -5

x + y + z = 17 + (-12) + (-5)

3xyz = 3(17)(-12)(-5)

= 3060

.°. Answer is 3060

______________________.....

B) 64m³ - 343

= (4m)³ - 7³

Formula used : a³ - b³ =(a - b)(a² - ab + b²)

= (4m - 7){(4m)² - 4m × 7 + (7)²}

= (4m -7) ( 16m² - 28m + 49 )

.°. Answer is (4m -7) ( 16m² - 28m + 49 )

Answer 2

64m³-343³ using suitable identities