Question

(с+5)*(с-9) (8x-4y)(2x-y) (7a-3)(9a+1) (a-8)(a^2-6a+9)

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Let's simplify each of the given expressions:

1. (с+5)*(с-9)

To simplify this, you can use the distributive property (FOIL method):

(с + 5) * (с - 9) = с^2 - 9с + 5с - 45

Now, combine like terms:

с^2 - 4с - 45

2. (8x - 4y)(2x - y)

Again, use the distributive property (FOIL method):

(8x - 4y)(2x - y) = 8x * 2x - 8x * y - 4y * 2x + 4y * y

Simplify:

16x^2 - 10xy + 4y^2

3. (7a - 3)(9a + 1)

Once more, apply the distributive property (FOIL method):

(7a - 3)(9a + 1) = 7a * 9a + 7a * 1 - 3 * 9a - 3 * 1

Simplify:

63a^2 + 7a - 27a - 3

Combine like terms:

63a^2 - 20a - 3

4. (a - 8)(a^2 - 6a + 9)

Again, apply the distributive property (FOIL method):

(a - 8)(a^2 - 6a + 9) = a * a^2 + a * (-6a) + a * 9 - 8 * a^2 - 8 * (-6a) - 8 * 9

Simplify:

a^3 - 6a^2 + 9a - 8a^2 + 48a - 72

Combine like terms:

a^3 - 14a^2 + 57a - 72

So, the simplified expressions are:

1. с^2 - 4с - 45
2. 16x^2 - 10xy + 4y^2
3. 63a^2 - 20a - 3
4. a^3 - 14a^2 + 57a - 72