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Lời giải:
Cách 1: $85\times 115+65\times 35=9775+2275=12050$
Cách 2:
$85\times 115+65\times 35=5\times 17\times 5\times 23+5\times 13\times 5\times 7$
$=25\times 17\times 23+25\times 7\times 13$
$=25\times (17\times 23+7\times 13)$
$=25\times 482=12050$
\(=\dfrac{3}{7}\cdot\left(\dfrac{4}{9}+\dfrac{5}{9}+1\right)=\dfrac{3}{7}\cdot2=\dfrac{6}{7}\)
\(=\dfrac{3}{7}\times\dfrac{4}{9}\times\dfrac{5}{9}\times\dfrac{3}{7}+\dfrac{3}{7}=\dfrac{3}{7}\times\left(\dfrac{4}{9}+\dfrac{5}{9}+1\right)=\dfrac{3}{7}\times2=\dfrac{6}{7}\)
27050+(682x48-376)
=27050+(32736-376)
=27050+32360
=59410
a) C1 : \(\left(\frac{1}{2}+\frac{1}{3}\right)\times\frac{2}{5}=\left(\frac{3}{6}+\frac{2}{6}\right)\times\frac{2}{5}\)
\(=\frac{5}{6}\times\frac{2}{5}\)
\(=\frac{10}{30}=\frac{1}{3}\)
C2 : \(\left(\frac{1}{2}+\frac{1}{3}\right)\times\frac{2}{5}=\frac{1}{2}\times\frac{2}{5}+\frac{1}{3}\times\frac{2}{5}\)
\(=\frac{1}{5}+\frac{2}{15}\)
\(=\frac{3}{15}+\frac{2}{15}\)
\(=\frac{5}{15}=\frac{1}{3}\)
b) C1 : \(\frac{3}{5}\times\frac{17}{21}+\frac{17}{21}\times\frac{2}{5}=\frac{17}{35}+\frac{34}{105}\)
\(=\frac{51}{105}+\frac{34}{105}\)
\(=\frac{85}{105}=\frac{17}{21}\)
C2 : \(\frac{3}{5}\times\frac{17}{21}+\frac{17}{21}\times\frac{2}{5}=\frac{17}{21}\times\left(\frac{3}{5}+\frac{2}{5}\right)\)
\(=\frac{17}{21}\times1=\frac{17}{21}\)
85 x 65 + 65 x 35
= 65 x (85 + 35)
= 65 x 120
= 7800
85 x 65 + 65 x 35
= 5525 + 2275
= 7800