Question

1) (a – 4) (a - 2) 2) (5x – 3) (4 – 3x) 3) (x² - y) (x + у²) 1) (a - b) (a + b) 2) (1,2х - 2,3y) (5x – 4y) 3) (16/5x²- 5/3y) (5/8 – 15y)

Answer 1

Пошаговое объяснение:

1)а²-2а-4а+8=а²-6а+8

2)20х-15х²-12+9х=-15²+29х-12

3)х³+х²у²-ху-у³

Answer 2

It looks like you've provided several algebraic expressions, and it seems like you want to multiply them. Let's go through each one:

1. (a - 4) (a - 2):

To multiply these two binomials, you can use the distributive property, also known as FOIL (First, Outer, Inner, Last):

(a - 4) (a - 2) = aa - 2a - 4*a + 8

Now, simplify:

a^2 - 2a - 4a + 8 = a^2 - 6a + 8

So, the product is a^2 - 6a + 8.

2. (5x - 3) (4 - 3x):

Use the same FOIL method:

(5x - 3) (4 - 3x) = 5x4 - 5x3x - 34 + 33x

Now, simplify:

20x - 15x^2 - 12 + 9x = -15x^2 + 29x - 12

So, the product is -15x^2 + 29x - 12.

3. (x² - y) (x + у²):

Again, use FOIL:

(x² - y) (x + у²) = x²x + x²у² - yx - yу²

Simplify:

x³ + x²y² - xy - yu²

So, the product is x³ + x²y² - xy - yu².

Now, let's move on to the next set of expressions:

1. (a - b) (a + b):

Use the difference of squares formula:

(a - b) (a + b) = a² - b²

So, the product is a² - b².

2. (1.2x - 2.3y) (5x - 4y):

Use FOIL:

(1.2x - 2.3y) (5x - 4y) = 1.2x5x - 1.2x4y - 2.3y5x + 2.3y4y

Now, simplify:

6x² - 4.8xy - 11.5xy + 9.2y²

Combine like terms:

6x² - 16.3xy + 9.2y²

So, the product is 6x² - 16.3xy + 9.2y².

3. (16/5x² - 5/3y) (5/8 - 15y):

Use FOIL:

(16/5x² - 5/3y) (5/8 - 15y) = (16/5x²)(5/8) - (16/5x²)(15y) - (5/3y)(5/8) + (5/3y)(15y)

Now, simplify:

(16/5x²)*(5/8) = (16/40x²) = (2/5x²)

-(16/5x²)(15y) = -(16/5)(3y) = -48/5y

-(5/3y)*(5/8) = -(25/24y)

(5/3y)*(15y) = (75/3)y² = 25y²

Now, combine like terms:

(2/5x²) - (48/5y) - (25/24y) + 25y²

So, the product is (2/5x²) - (48/5y) - (25/24y) + 25y².