Question

use the identity
${x}^{2} \: + (a + b)x + ab = (x + a)(x + b)$
${x}^{2} - 5x + 6$

Answer 1

Solution :

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We know the algebraic identity,

x² + ( a + b )x + ab = (x+a)(x+b)

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Here ,

x² - 5x + 6

= x² + ( -2 - 3 )x + ( -2 ) ( -6 )

= x² + [ (-2 ) + ( -3 ) ] x + (-2)(-3)

Compare this with above identity

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

= ( x - 2 )( x - 3 )

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