Question

1)Упростите выражение: а) 5а+7б-2а-8б; б) 3(4х+2)-5; в) 20б-(б-3)+(3б-10).2) Раскройте скобки:2р-(3р-(2р-с))

Answer 1

3а-1б,3умножить на 4х потом 3*2 скобки расрываются и минус 5

Answer 2

1) Упростите выражение:

а) 5а + 7б - 2а - 8б

To simplify this expression, we can combine like terms. Like terms are terms that have the same variables raised to the same powers. In this case, we have terms with the variables "а" and "б".

Let's group the like terms together:

(5а - 2а) + (7б - 8б)

Combining the like terms within each grouping:

3а - 1б

So, the simplified expression is 3а - 1б.

б) 3(4х + 2) - 5

To simplify this expression, we can distribute the 3 to each term inside the parentheses and then combine like terms:

3 * 4х + 3 * 2 - 5

12х + 6 - 5

Combining like terms:

12х + 1

So, the simplified expression is 12х + 1.

в) 20б - (б - 3) + (3б - 10)

To simplify this expression, we need to distribute the negative sign to each term inside the parentheses and then combine like terms:

20б - б + 3 + 3б - 10

Combining like terms:

(20б - б + 3б) + (3 - 10)

(20б + 3б - б) + (-7)

Combining like terms:

22б - 7

So, the simplified expression is 22б - 7.

2) Раскройте скобки:

2р - (3р - (2р - с))

When expanding the expression, we need to apply the distributive property. We'll start from the innermost set of parentheses and work our way outwards.

Let's begin:

2р - (3р - 2р + с)

Inside the innermost parentheses, we have (2р - с). Now let's simplify further:

2р - (3р - 2р + с)

2р - 3р + 2р - с

Now let's combine like terms:

(2р + 2р - 3р) - с

4р - 3р - с

Finally, combining like terms:

р - с

So, the expanded expression is р - с.