Question

factorise (2x+1/3)²-(x-1/2)²​

Answer 1

Answer:

Hey mate

Here is your answer

We know the algebraic identity,

a² - b² = ( a + b )(a - b )

******************************************

Now ,

( 2x + 1/3 )² - ( x - 1/2 )²

= [ ( 2x + 1/3 ) +( x - 1/2 ) ][( 2x + 1/3 ) - ( x - 1/2 )]

= [ 2x + 1/3 + x - 1/2 ][ 2x + 1/3 - x + 1/2 ]

= ( 3x + 1/3 - 1/2 ) ( x + 1/3 + 1/2 )

=[ ( 18x + 2 - 3 )/6 ] [( 6x + 2 + 3 )/6]

= ( 1/36 )( 18x -1 ) ( 6x + 5 )

I hope this helps you.

PLEASE MARK MY ANSWER AS BRAINLIEST !!!

Answer 2

step by step explanation

(2x + 1/3)² - (x - 1/2)²

Using Identify 3

a²- b²= (a + b) (a - b)

(2x + 1/3 + x - 1/2) (2x + 1/3 - x +1/2)

(x + 2/6 - 3/6) (3x + 2/6 + 3/6)

(x - 1/6) (3x + 5/6) Answer

hope its help

thanks