Question

Выполните умножения!1. (x-4)(y+5)=?2. (5а-7)(3а+1)=?3. 3в(в-2)(2+4в)=?4. х(а+в)=?5. -n(x-y)=?

Answer 1

Только умножить?
1. xy+5x-4y-20
2. 15a^2+5a-21a-7
3. 3b(2b+4b^2-4-8b)=6b^2+12b^3-12b-24b^2
4.  xa+xb
5. -nx+ny

Answer 2

1. (x-4)(y+5)

To solve this multiplication, we can use the distributive property of multiplication. The distributive property states that multiplying a sum by a number is the same as multiplying each term in the sum by the number and then adding the products.

So, let's apply the distributive property to the given expression:

(x-4)(y+5) = x(y+5) - 4(y+5)

Now, let's simplify further:

(x-4)(y+5) = xy + 5x - 4y - 20

Therefore, the answer to (x-4)(y+5) is xy + 5x - 4y - 20.

2. (5a-7)(3a+1)

Again, we can use the distributive property to solve this multiplication:

(5a-7)(3a+1) = 5a(3a+1) - 7(3a+1)

Let's simplify further:

(5a-7)(3a+1) = 15a^2 + 5a - 21a - 7

Combining like terms, we get:

(5a-7)(3a+1) = 15a^2 - 16a - 7

So, the answer to (5a-7)(3a+1) is 15a^2 - 16a - 7.

3. 3v(v-2)(2+4v)

To solve this multiplication, we can again use the distributive property:

3v(v-2)(2+4v) = 3v(v-2) * (2+4v)

Let's simplify further:

3v(v-2)(2+4v) = 6v^2 + 12v^2 - 6v - 12v

Combining like terms, we get:

3v(v-2)(2+4v) = 18v^2 - 18v

Therefore, the answer to 3v(v-2)(2+4v) is 18v^2 - 18v.

4. x(a+b)

To solve this multiplication, we can apply the distributive property:

x(a+b) = xa + xb

So, the answer to x(a+b) is xa + xb.

5. -n(x-y)

To solve this multiplication, we can simply distribute the negative sign:

-n(x-y) = -nx + ny

Therefore, the answer to -n(x-y) is -nx + ny.