Toán Lớp 8: 1_ Tính
a) (2x^2+1/3)^3
b)(x^2+2y^2)^2
c)(2/3x+y^2)^2
đ)(3x^2-5y)^2
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Toán Lớp 8: 1_ Tính
a) (2x^2+1/3)^3
b)(x^2+2y^2)^2
c)(2/3x+y^2)^2
đ)(3x^2-5y)^2
Comments ( 1 )
a){\left( {2{x^2} + \dfrac{1}{3}} \right)^3}\\
= {\left( {2{x^2}} \right)^3} + 3.{\left( {2{x^2}} \right)^2}.\dfrac{1}{3} + 3.2{x^2}.\dfrac{1}{9} + \dfrac{1}{{27}}\\
= 8{x^6} + 4{x^4} + \dfrac{2}{3}{x^2} + \dfrac{1}{{27}}\\
b){\left( {{x^2} + 2{y^2}} \right)^2}\\
= {x^4} + 4{x^2}{y^2} + 4{y^4}\\
c){\left( {\dfrac{2}{3}x + {y^2}} \right)^2}\\
= \dfrac{4}{9}{x^2} + \dfrac{4}{3}x{y^2} + {y^4}\\
d){\left( {3{x^2} – 5y} \right)^2}\\
= 9{x^4} – 30{x^2}y + 25{y^2}
\end{array}$