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

Toán Lớp 9: phân tích thành nhân tử: a) 5 + √3 + 5√3 + 3 b) √x + √y + √xy + 1 c) -16 + a + b – 2√ab d) x – 4√x + 3

Toán Lớp 9: phân tích thành nhân tử:
a) 5 + √3 + 5√3 + 3
b) √x + √y + √xy + 1
c) -16 + a + b – 2√ab
d) x – 4√x + 3

Comments ( 2 )

  1. a)
    5+\sqrt{3} +5\sqrt{3} +3
    =(5+5\sqrt{3} )+(\sqrt{3} +3)
    =5(1+\sqrt{3})+ \sqrt{3} (1+\sqrt{3} )
    =(1+\sqrt{3} )(5+\sqrt{3} )
    b)
    \sqrt{x} +\sqrt{y} +\sqrt{xy} +1
    =(\sqrt{x} +\sqrt{xy} )+(\sqrt{y} +1)
    =\sqrt{x} (1+\sqrt{y} )+(1+\sqrt{y} )
    =(1+\sqrt{y} )(\sqrt{x} +1)
    c)
    -16+a+b+2\sqrt{ab}
    =(a-2\sqrt{ab} +b)-16
    =(\sqrt{a} -\sqrt{b} )²-4²
    =(\sqrt{a} -\sqrt{b}-4)(\sqrt{a} -\sqrt{b}+4)
    d)
    x-4\sqrt{x}+3
    =x-\sqrt{x}-3\sqrt{x}+3
    =\sqrt{x}(\sqrt{x}-1)-3(\sqrt{x}-1)
    =(\sqrt{x}-1)(\sqrt{x}-3)
     

  2. Giải đáp + Lời giải và giải thích chi tiết:
    a)
    5+\sqrt3+5\sqrt3+3
    =(5+\sqrt3)+\sqrt3(5+\sqrt3)
    =(5+\sqrt3)(1+\sqrt3)
    b)
    \sqrtx+\sqrty+\sqrt{xy}+1
    =(\sqrtx+\sqrt{xy})+(\sqrty+1)
    =\sqrtx(1+\sqrty)+(1+\sqrty)
    =(1+\sqrty)(\sqrtx+1)
    c)
    -16+a+b-2\sqrt{ab}
    =(a-2\sqrt{ab}+b)-16
    =(\sqrta-\sqrtb)^2-4^2
    =(\sqrta-\sqrtb-4)(\sqrta-\sqrtb+4)
    d)
    x-4\sqrtx+3
    =x-\sqrtx-3\sqrtx+3
    =\sqrtx(\sqrtx-1)-3(\sqrtx-1)
    =(\sqrtx-1)(\sqrtx-3)
     

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

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