Thực hiện phép tính: a)(x+3) ³ b)(x-2/5) ² c)(3m ²+n/4) ³ d)(-2/3 u ³- 3/2 v ²) ³ 09/08/2021 Bởi Reese Thực hiện phép tính: a)(x+3) ³ b)(x-2/5) ² c)(3m ²+n/4) ³ d)(-2/3 u ³- 3/2 v ²) ³
Đáp án: Giải thích các bước giải: $a,x^3+9x^2+27x+27$ $b,x^2-\dfrac{4}{5}x+\dfrac{4}{25}$ $c,27m^6+27m^4\dfrac{n}{4}+9m^2\dfrac{n^2}{16}+\dfrac{n^3}{64}$ $d,-\dfrac{8}{27}u^9-2u^6v^2-\dfrac{9}{2}u^3v^4-\dfrac{27}{8}v^6$ Bình luận
a) $(x+3)^3$ $=x^3+9x^2+27x+27$ b) $(x-\dfrac{2}{5})^2$ $=x^2-\dfrac{4}{5}x+\dfrac{4}{25}$ c) $(3m^2+\dfrac{n}{4})^3$ $=27m^6+\dfrac{27}{4}m^4n+\dfrac{9}{16}m^2n^2+\dfrac{n^3}{64}$ d) $(\dfrac{-2}{3}u^3-\dfrac{3}{2}v^2)^3$ $=\dfrac{-8}{27}u^9-2u^6v^2-\dfrac{9}{2}u^3v^4-\dfrac{27}{8}v^6$ Bình luận
Đáp án:
Giải thích các bước giải:
$a,x^3+9x^2+27x+27$
$b,x^2-\dfrac{4}{5}x+\dfrac{4}{25}$
$c,27m^6+27m^4\dfrac{n}{4}+9m^2\dfrac{n^2}{16}+\dfrac{n^3}{64}$
$d,-\dfrac{8}{27}u^9-2u^6v^2-\dfrac{9}{2}u^3v^4-\dfrac{27}{8}v^6$
a) $(x+3)^3$
$=x^3+9x^2+27x+27$
b) $(x-\dfrac{2}{5})^2$
$=x^2-\dfrac{4}{5}x+\dfrac{4}{25}$
c) $(3m^2+\dfrac{n}{4})^3$
$=27m^6+\dfrac{27}{4}m^4n+\dfrac{9}{16}m^2n^2+\dfrac{n^3}{64}$
d) $(\dfrac{-2}{3}u^3-\dfrac{3}{2}v^2)^3$
$=\dfrac{-8}{27}u^9-2u^6v^2-\dfrac{9}{2}u^3v^4-\dfrac{27}{8}v^6$