Question

Докажите, что значение данного выражения не зависит от значения x; 3(10x+2)-6(5x-11)

Answer 1

30х+6-30х60=72......

Answer 2

30х+6-30х+66=72 не зависит от х

Answer 3

Solving the Expression: 3(10x+2)-6(5x-11)

To prove that the value of the given expression does not depend on the value of x, we can simplify the expression and show that the variable x cancels out.

First, let's simplify the given expression step by step.

The given expression is: 3(10x+2)-6(5x-11)

Step 1: Distribute the terms inside the parentheses

= 3*10x + 3*2 - 6*5x + 6*11

Step 2: Simplify the terms

= 30x + 6 - 30x + 66

Step 3: Combine like terms

= (30x - 30x) + (6 + 66)

Step 4: Further simplification

= 0x + 72

Step 5: Final result

= 0 + 72

Conclusion

The final result of the expression is 72. As we can see, the value of the expression does not depend on the value of x, as the variable x cancels out during the simplification process.

This proves that the value of the given expression does not depend on the value of x.