Toán rút gọn: ( x ² – 5x + 1) ² + 2( 5x – 1) ( x ² – 5x + 1) + (5x- 1) 29/08/2021 By Faith rút gọn: ( x ² – 5x + 1) ² + 2( 5x – 1) ( x ² – 5x + 1) + (5x- 1)
( x ² – 5x + 1) ² + 2( 5x – 1) ( x ² – 5x + 1) + (5x- 1) =( x ² – 5x + 1) ²+( 5x – 1) ( x ² – 5x + 1) +( 5x – 1) ( x ² – 5x + 1) + (5x- 1) =(x ² – 5x + 1)( x ² – 5x + 1+5x-1)+( 5x – 1)(x ² – 5x + 2) =(x ² – 5x + 1)x ² +( 5x – 1)(x ² – 5x + 2) =(x ² – 5x + 1)x ²+(x ² – 5x + 1)5x+5x-x ² +5x -1-1 =$x^{4}$ -5$x^{3}$ +$x^{2}$ +5$x^{3}$ -25$x^{2}$+5x -x ²+10x-2 =$x^{4}$ -25$x^{2}$ +15x-2 Trả lời
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( x ² – 5x + 1) ² + 2( 5x – 1) ( x ² – 5x + 1) + (5x- 1)
=( x ² – 5x + 1) ²+( 5x – 1) ( x ² – 5x + 1) +( 5x – 1) ( x ² – 5x + 1) + (5x- 1)
=(x ² – 5x + 1)( x ² – 5x + 1+5x-1)+( 5x – 1)(x ² – 5x + 2)
=(x ² – 5x + 1)x ² +( 5x – 1)(x ² – 5x + 2)
=(x ² – 5x + 1)x ²+(x ² – 5x + 1)5x+5x-x ² +5x -1-1
=$x^{4}$ -5$x^{3}$ +$x^{2}$ +5$x^{3}$ -25$x^{2}$+5x -x ²+10x-2
=$x^{4}$ -25$x^{2}$ +15x-2