Question

А) 3(4х+10)-(6+12х) Б) 5(7х-4)-(23х-24)

Answer 1

А) 3(4x + 10) - (6 + 12x) = 12x + 30 - 6 - 12x = 24

Б) 5(7x - 4) - (23x - 24) = 35x - 20 - 23x + 24 = 12x + 4

Answer 2

Ответ:

а)12x+30-6-12x=24

б)35x-20-23x+24=12x+4

Answer 3

To simplify the expressions, let's perform the operations step by step:

А) 3(4х + 10) - (6 + 12х)

Step 1: Distribute the 3 on the left side: = 3 * 4х + 3 * 10 - (6 + 12х)

Step 2: Simplify the terms: = 12х + 30 - (6 + 12х)

Step 3: Remove the parentheses by distributing the negative sign inside: = 12х + 30 - 6 - 12х

Step 4: Combine like terms: = (12х - 12х) + (30 - 6)

Step 5: The terms with x cancel each other out, leaving only the constant terms: = 0 + 24

Step 6: The final result is: = 24

Now let's simplify the second expression:

Б) 5(7х - 4) - (23х - 24)

Step 1: Distribute the 5 on the left side: = 5 * 7х - 5 * 4 - (23х - 24)

Step 2: Simplify the terms: = 35х - 20 - (23х - 24)

Step 3: Remove the parentheses by distributing the negative sign inside: = 35х - 20 - 23х + 24

Step 4: Combine like terms: = (35х - 23х) + (24 - 20)

Step 5: Simplify the x terms: = 12х + 4

Step 6: The final result is: = 12х + 4

So, the simplified expressions are:

A) 3(4х + 10) - (6 + 12х) = 24

Б) 5(7х - 4) - (23х - 24) = 12х + 4