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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 9: phân tích đa thức thành nhân tử a,x√x+ y√y+x-y b, x- √x-2

Toán Lớp 9: phân tích đa thức thành nhân tử
a,x√x+ y√y+x-y
b, x- √x-2

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
     a) xsqrtx+ysqrty+x-y
    =(xsqrtx+ysqrty)+(x-y)
    =(sqrtx+sqrty)(x-sqrt{xy}+y)+(sqrtx-sqrty)(sqrtx+sqrty)
    =(sqrtx+sqrty)(x-sqrt{xy}+y+sqrtx-sqrty)
     b) x-sqrtx-2
    =x-2sqrtx+sqrtx-2
    =sqrtx(sqrtx-2)+(sqrtx-2)
    =(sqrtx-2)(sqrtx+1)

  2. $\text{a) x$\sqrt{x}$ + y$\sqrt{y}$ + x – y }$
    $\text{= ($\sqrt{x}$)³ + ($\sqrt{y}$)³ + ( $\sqrt{x}$ – $\sqrt{y}$ )( $\sqrt{x}$ + $\sqrt{y}$ )}$
    $\text{= ( $\sqrt{x}$ + $\sqrt{y}$ )( x – $\sqrt{xy}$ + y ) + ( $\sqrt{x}$ – $\sqrt{y}$ )( $\sqrt{x}$ + $\sqrt{y}$ )}$
    $\text{= ( $\sqrt{x}$ + $\sqrt{y}$ )( x -$\sqrt{xy}$ + y + $\sqrt{x}$ – $\sqrt{y}$ )  }$
    $\text{b) x – $\sqrt{x}$ – 2 }$
    $\text{= ( $\sqrt{x}$ )² + $\sqrt{x}$ – 2$\sqrt{x}$ – 2 }$
    $\text{= $\sqrt{x}$( $\sqrt{x}$ + 1 ) – 2( $\sqrt{x}$ + 1 ) }$
    $\text{= ( $\sqrt{x}$ + 1 )( $\sqrt{x}$ – 2 ) }$

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222-9+11+12:2*14+14 = ? ( )

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