Question

(x-5) power 2+2(x-5)

Answer 1

     Method 1 : ( Factorization )

( x - 5 )^2 + 2( x - 5 )

As ( x - 5 ) is common in both the polynomials, the polynomial can be written as { x - 5 }{ ( x - 5 ) + 2 } .

( x - 5 ) { ( x - 5 ) + 2( 1 )}

( x - 5 ) { x - 5 + 2 }

( x - 5 )( x - 3 )

                      Method 2 : ( Simplification )

( x - 5 )^2 + 2( x - 5 )

( a - b )^2 = a^2 + b^2 - 2ab

( x )^2 + ( 5 )^2 - 2( x*5 ) + 2( x ) - 2( 5 )

x^2 + 25 - 10x + 2x - 10

x^2 + 2x - 10x + 25 - 10

x^2 - 8x + 15

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