Question

1. Find the cube of the following using identity.
(a) 23
(b) 35​

Answer 1

$➝\blue{\underline{\boxed{\sf ᴀɴsᴡᴇʀ :}}}$

• 23³=12,167
• 35³=42,875

Answer 2

Answer:

(a)12167

(b) 42875

Step-by-step explanation:

(a) 23^3=(20+3)^3

=(20)^3+(3)^3+3(20)(3)(20+3)

=8000+27+(3*20*3*23)

=8027+(180*23)

=8027+4140

=12167

(b) 35^3=(30+5)^3

=(30)^3+(5)^3+3(30)(5)(30+5)

=27000+125+(3*30*5*35)

=27125+(450*35)

=27125+15750

=42875

the identity used is: (a+b)^3

=a^3+b^3+3*a*b*(a+b)