Tính nhanh :
a,2017 x 2021 - 4031 / 2020 + 2017 x 2018
b,2017 x 2019 + 1009 / 2019 x 4035 - 1
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a/ \(A=2018\cdot2018\)
\(=\left(2019-1\right)\cdot2018=2019\cdot2018-2018\)
\(B=2017\cdot2019\)
\(=\left(2018-1\right)\cdot2019=2018\cdot2019-2019\)
\(\Rightarrow A>B\)
b/
\(A=2018\cdot2019\)
\(=\left(2017+1\right)\cdot2019=2017\cdot2019+2019\)
\(B=2017\cdot2020\)
\(=2017\cdot\left(2019+1\right)=2017\cdot2019+2017\)
\(\Rightarrow A>B\)
26 x 84 + 74 x 85
= 26 x 84 + 74 x 84 + 74
= 84 x (26 + 74) + 74
= 84 x 100 + 74
= 840 + 74
= 914
\(\frac{2017\times2018+2019}{2019\times2018-2017}\)
= \(\frac{2019\times2018-2\times2018+2019}{2019\times2018-2017}\)
= \(\frac{2019\times2018-4036+2019}{2019\times2018-2017}\)
= \(\frac{2019\times2018-2017}{2019\times2018-2017}\)
= 1
Lời giải:
Số số hạng: $(2020-x):1+1=2021-x$
Giá trị tổng trên: $(2020+x)(2021-x):2=2020$
$(2020+x)(2021-x)=4040$
$2020.2021+x-x^2=4040$
$x^2-x+4040-2020.2021=0$
$x^2-x+2020(2-2021)=0$
$x^2-x-2019.2020=0$
$(x-2020)(x+2019)=0$
$\Rightarrow x=2020$ hoặc $x=-2019$
a, \(\dfrac{2017.2021-4031}{2020+2017.2018}\)
= \(\dfrac{2017\left(2018+3\right)-4031}{2020+2017.2018}\)
= \(\dfrac{2017.2018+2017.3-4031}{2020+2017.2018}\)
= \(\dfrac{2017.2018+2020}{2020+2017.2018}\)
= 1
@Nguyen Thi Ngoc Linh