Question

1) – 1,5a · (- 6b); 2) – 4m – 15n + 3m + 18n; 3) b + (7 – b) – (14 – b); 4) – 2(x - 3) + 4(x + 1).

Answer 1

Решение / ответ:

1) - 1,5a × (- 6b) = 9ab;

2) - 4m - 15n + 3m + 18n =

= (- 4m + 3m) + (- 15n + 18n) = - m + 3n = 3n - m;

3) b + (7 - b) - (14 - b) = b + 7 - b - 14 + b =

= - 7 + b = b - 7;

4) - 2 (x - 3) + 4 (x + 1) = - 2x + 6 + 4x + 4 =

= (- 2x + 4x) + (6 + 4) = - 2x + 10 = 10 - 2x.

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Answer 2

1) -1,5a · (-6b)

To simplify this expression, we need to multiply -1,5a by -6b. When multiplying two negative numbers, the result is positive.

Therefore, -1,5a · (-6b) = 9ab.

2) -4m - 15n + 3m + 18n

To simplify this expression, we need to combine like terms. -4m + 3m = -m -15n + 18n = 3n

Therefore, -4m - 15n + 3m + 18n = -m + 3n.

3) b + (7 - b) - (14 - b)

To simplify this expression, we need to simplify the brackets first.

7 - b simplifies to 7 - b. 14 - b simplifies to 14 - b.

Now we can substitute these simplified brackets back into the expression.

b + (7 - b) - (14 - b) = b + 7 - b - 14 + b

Next, we can combine the like terms.

b - b + b = 2b 7 - 14 = -7

Therefore, b + (7 - b) - (14 - b) = 2b - 7.

4) -2(x - 3) + 4(x + 1)

To simplify this expression, we need to apply the distributive property.

-2(x - 3) = -2x + 6 4(x + 1) = 4x + 4

Now we can substitute these simplified expressions back into the equation.

-2(x - 3) + 4(x + 1) = -2x + 6 + 4x + 4

Next, we can combine the like terms.

-2x + 4x = 2x 6 + 4 = 10

Therefore, -2(x - 3) + 4(x + 1) = 2x + 10.