1;
31.(45+69)+69.(45-31)
=31.45+69.31+69.45-69.31
=45.(69+31)+(69.31-69.31)
=45.100+0
=4500
2;
A=2x+3y+9x+8y
=>A=x.(2+9)+y.(8+3)
=>A=11x+11y
=>A=11.(x+y)mà x+y =10
=>A=11.10
=>A=110
Bài 1 .
31 . ( 45 + 69 ) + 69 . ( 45 - 31 )
= 31 . 45 + 69 . 31 + 69 . 45 - 69 . 31
= 45 . ( 69 + 31 ) + ( 69 . 31 - 69 . 31 )
= 45 . 100 + 0
= 4500
Bài 2 .
Ta có : A = 2x + 3y + 9x + 8y
\(\Rightarrow\) A = x . ( 2 + 9 ) + y . ( 3 + 8)
\(\Rightarrow\) A = 11x + 11y . Mà x + y = 10 nên :
\(\Rightarrow\) A = 11 . 10
\(\Rightarrow\) A = 110
Vậy A = 110
Tính nhanh
31 . ( 45 + 69 ) + 69 . ( 45 - 31 ) = 0