Question

Find the square of 27 using the identity (a+b)2 = a2 + 2ab + b2.​

Answer 1

Answer:

Hi

Step-by-step explanation:

It should be

(25+2)²=625+4+100=729

So 27²=729

Answer 2

Answer:

729

Step-by-step explanation:

27 = ( 20 + 7 )

Here a = 20 and b = 7

Squaring on both sides of equation

( 27 )² = ( 20 + 7 )²

( a + b ) = a² + 2ab + b²

= ( 20 )² + 2(20) (7) + ( 7 )²

= 729

OR

27 = ( 30 - 3 )

Here a = 30 and b = 3

Squaring on both sides of equation

( 27 )² = ( 30 - 3 )²

( a + b ) = a² - 2ab + b²

= ( 30 )² - 2 (30) (3) + (3)²

= 900 - 180 + 9

= 720 + 9

= 729