factorise( a-5 )^2 - (a-8)^2
Answers
Answered by
16
Solution :
*************************************
We know the algebraic identity:
x² - y² = ( x + y )( x - y )
**************************************
Here ,
( a - 5 )² - ( a - 8 )²
= [ a - 5 + a - 8 ][ a - 5 - ( a - 8 )]
= ( 2a - 13 )( a - 5 - a + 8 )
= ( 2a - 13 )( 3 )
=3( 2a - 13 )
••••
*************************************
We know the algebraic identity:
x² - y² = ( x + y )( x - y )
**************************************
Here ,
( a - 5 )² - ( a - 8 )²
= [ a - 5 + a - 8 ][ a - 5 - ( a - 8 )]
= ( 2a - 13 )( a - 5 - a + 8 )
= ( 2a - 13 )( 3 )
=3( 2a - 13 )
••••
Answered by
3
Answer: 3 ( 2a - 13 )
Step-by-step explanation:
_________________________________________
Using the identity
x² - y² = ( x + y )( x - y )
_________________________________________
( a - 5 )² - ( a - 8 )²
= [ a - 5 + a - 8 ][ a - 5 - ( a - 8 )]
= ( 2a - 13 )( a - 5 - a + 8 )
= ( 2a - 13 )( 3 )
=3( 2a - 13 )
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