Question

(6x+1)^2+(6x-1)^2-2(1+6x)*(6x-1), rút gọn biểu thức

Answer 1

(6x+1)^2+(6x-1)^2-2(1+6x)*(6x-1)

=(6x+1)²-2(6x+1)(6x-1)+(6x-1)²

=[(6x+1)-(6x-1)]²

=(6x+1-6x+1)²

=2²

=4

Answer 2

\(\left(6x+1\right)^2+\left(6x-1\right)^2-2\left(1+6x\right)\left(6x-1\right)\)

\(\Rightarrow\left(6x+1\right)^2-2\left(6x+1\right)\left(6x-1\right)+\left(6x-1\right)^2\)

\(\Rightarrow\left(6x+1-6x+1\right)^2\)

\(\Rightarrow2^2\)

\(\Rightarrow4\)

Answer 3

Trả lời:

( 6x + 1 )² + ( 6x - 1 )² - 2 ( 1 + 6x ) ( 6x - 1 )

= ( 6x + 1 )² - 2 ( 6x + 1 ) ( 6x - 1 ) + ( 6x - 1 )² 

= [ ( 6x + 1 ) - ( 6x - 1 ) ]²

= ( 6x + 1 - 6x + 1 )²

= 2²

= 4

Answer 4

Trả lời:

( 6x + 1 )² + ( 6x - 1 )² - 2 ( 1 + 6x ) ( 6x - 1 )

= ( 6x + 1 )² - 2 ( 6x + 1 ) ( 6x - 1 ) + ( 6x - 1 )² 

= [ ( 6x + 1 ) - ( 6x - 1 ) ]²

= ( 6x + 1 - 6x + 1 )²

= 2²

= 4