a,x mũ 2 y mũ4 -2xymũ2+1 b,a.b+1/4+a mũ 2 bmũ2 c,4+4x+xmũ2 d,x mũ 2 y mũ2+2xy+1 bài 2: a,x mũ 2 +2x+1+(x-1) mũ 2 b,(x+y) mũ 2/x+y c,(x+y) mũ 2+(x-y) m

a,x mũ 2 y mũ4 -2xymũ2+1
b,a.b+1/4+a mũ 2 bmũ2
c,4+4x+xmũ2
d,x mũ 2 y mũ2+2xy+1
bài 2: a,x mũ 2 +2x+1+(x-1) mũ 2
b,(x+y) mũ 2/x+y
c,(x+y) mũ 2+(x-y) mũ 2 +2(x-y)(x+y)/2x mũ 2
d,(x.y) mũ 3 -(x+y) mũ 3

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  1. Đáp án:

    $\begin{array}{l}
    a){x^2}{y^4} – 2x{y^2} + 1 = {\left( {x{y^2} – 1} \right)^2}\\
    b)\frac{{ab + 1}}{{4 + {a^2}{b^2}}}\\
    c)4 + 4x + {x^2}\\
     = {\left( {x + 2} \right)^2}\\
    d){x^2}{y^2} + 2xy + 1\\
     = {\left( {xy + 1} \right)^2}\\
    B2)a){x^2} + 2x + 1 + {\left( {x – 1} \right)^2}\\
     = {x^2} + 2x + 1 + {x^2} – 2x + 1\\
     = 2{x^2} + 2\\
     = 2\left( {{x^2} + 1} \right)\\
    b)\frac{{{{\left( {x + y} \right)}^2}}}{{x + y}} = x + y\\
    c)\frac{{{{\left( {x + y} \right)}^2} + {{\left( {x – y} \right)}^2} + 2\left( {x – y} \right)\left( {x + y} \right)}}{{2{x^2}}}\\
     = \frac{{{{\left( {x + y + x – y} \right)}^2}}}{{2{x^2}}}\\
     = \frac{{{{\left( {2x} \right)}^2}}}{{2{x^2}}}\\
     = \frac{{4{x^2}}}{{2{x^2}}}\\
     = 2\\
    d){\left( {x.y} \right)^3} – {\left( {x + y} \right)^3}\\
     = \left( {x.y – x – y} \right)\left( {{x^2}{y^2} + xy\left( {x + y} \right) + {{\left( {x + y} \right)}^2}} \right)\\
     = \left( {xy – x – y} \right)\left( {{x^2}{y^2} + {x^2}y + x{y^2} + {x^2} + 2xy + {y^2}} \right)
    \end{array}$

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