Question

A) (x - 2)(x + 3);6) (2x2 - y²)(3y2 - x²).​

Answer 1

Ответ:A)X=-4

Объяснение:

а)x^2-1)*(x^2+3)=(x^2+1)^2+x

x^4+3x^2-x^2-3=x^4+2x^2+1+x

3x^2-x^2-3=2x^2+1x

2x^2-3=2x^2+1+x

-3=1+x

-x=1+3

-x=4

x=-4

ответ:x=-4

Answer 2

A) (x - 2)(x + 3):

To multiply the expressions (x - 2) and (x + 3), you can use the distributive property (FOIL method), which stands for First, Outer, Inner, Last. Here's how you do it:

1. First: Multiply the first terms in each expression. x * x = x²

2. Outer: Multiply the terms on the outside of each expression. x * 3 = 3x

3. Inner: Multiply the terms on the inside of each expression. (-2) * x = -2x

4. Last: Multiply the last terms in each expression. (-2) * 3 = -6

Now, combine all the terms:

x² + 3x - 2x - 6

Simplify by combining like terms:

x² + x - 6

So, the product of (x - 2)(x + 3) is x² + x - 6.

6. (2x² - y²)(3y² - x²):

To multiply the expressions (2x² - y²) and (3y² - x²), you can again use the distributive property. This time, you'll need to multiply every term in the first expression by every term in the second expression. It's a bit more complex, but here's how you do it:

1. Multiply the first terms in each expression: (2x²) * (3y²) = 6x²y²

2. Multiply the first term in the first expression by the second term in the second expression: (2x²) * (-x²) = -2x⁴

3. Multiply the second term in the first expression by the first term in the second expression: (-y²) * (3y²) = -3y⁴

4. Multiply the second terms in each expression: (-y²) * (-x²) = x²y²

Now, combine all these terms:

6x²y² - 2x⁴ - 3y⁴ + x²y²

Simplify by combining like terms:

6x²y² + x²y² - 2x⁴ - 3y⁴

Now, combine the like terms:

7x²y² - 2x⁴ - 3y⁴

So, the product of (2x² - y²)(3y² - x²) is 7x²y² - 2x⁴ - 3y⁴.