( x - 7 )( x - 3 ) <( ̄︶ ̄)>
(x + 2)² - 14(x + 2) + 45
= x² + 4x + 4 - 14x - 28 + 45
= x² - 10x + 21
= x² + [(-7) + (-3)]x + (7)(3)
[ ∵ x² + ( a + b )x + ab = ( x + a )( x - b ) ]
= ( x - 7 )( x - 3 )
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( x - 7 )( x - 3 ) <( ̄︶ ̄)>
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(x + 2)² - 14(x + 2) + 45
= x² + 4x + 4 - 14x - 28 + 45
= x² - 10x + 21
= x² + [(-7) + (-3)]x + (7)(3)
[ ∵ x² + ( a + b )x + ab = ( x + a )( x - b ) ]
= ( x - 7 )( x - 3 )