Question

1) a(b-2) 5(6-2) ; 2) 3(x+4) c(x+4) 3) ab(y+3); 4) a²b 15a(a - b) 20b(a - b)​

Answer 1

Ответ:

a(b-2) 5(6-2)

Розгорнемо дужки:

ab - 2a 5(4)

Помножимо 5 на 4:

ab - 2a 20

Остаточний вираз:

ab - 2a + 20

3(x+4) c(x+4)

Розгорнемо дужки:

3x + 12 cx + 4c

Остаточний вираз:

3x + 12 cx + 4c

ab(y+3)

Розгорнемо дужку:

aby + 3ab

Остаточний вираз:

aby + 3ab

a²b 15a(a - b) 20b(a - b)

Спростимо кожну дужку окремо:

a²b 15a² - 15ab 20ab - 20b²

Тепер додамо їх разом:

a²b + 15a² - 15ab + 20ab - 20b²

Спростимо подібні члени:

a²b + 15a² + 5ab - 20b²

Остаточний вираз:

a²b + 15a² + 5ab - 20b²

Answer 2

It seems like you've provided a list of algebraic expressions, and it appears you may want me to simplify or expand them. I'll go through each expression and simplify or expand them as needed:

1. a(b-2) 5(6-2):

To simplify this expression, you can distribute the values inside the parentheses:

a(b - 2) = ab - 2a 5(6 - 2) = 5 * 4 = 20

So the simplified expression is: ab - 2a + 20

2. 3(x+4) c(x+4):

Similarly, distribute the values inside the parentheses:

3(x + 4) = 3x + 12 c(x + 4) = cx + 4c

So the simplified expression is: 3x + 12 + cx + 4c

3. ab(y+3):

This expression is already in a simplified form. It cannot be further simplified unless you have specific values for the variables a, b, and y.

4. a²b 15a(a - b) 20b(a - b):

Let's simplify each term separately:

a²b: This term is already simplified.

15a(a - b): Distribute 15a into the parentheses:

15a(a - b) = 15a² - 15ab

20b(a - b): Distribute 20b into the parentheses:

20b(a - b) = 20ab - 20b²

Now, combine the simplified terms:

a²b + 15a² - 15ab + 20ab - 20b²

Combine like terms:

a²b + 15a² + 5ab - 20b²

So the simplified expression is: a²b + 15a² + 5ab - 20b²

These are the simplified or expanded forms of the given expressions based on the operations performed on each of them.