Question

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

Answer 1

Answer:

2x _

Step-by-step explanation:

pratik162

Secondary SchoolMath 5+3 pts

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

Report by Pratik162 08.05.2018

Answers

yuvrajrathore

Yuvrajrathore · Ace

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mysticd

Mysticd Maths AryaBhatta

Hi ,

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We know the algebraic identity,

a² - b² = ( a + b )(a - b )

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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 )