Question

1. (x-6) (x-4) 2. (2x²+4) (x²-5)​

Answer 1

Ответ:

1. х^2-4x-6x+24= x^2-10x+24

2. 2x^4-10x^2+4x^2-20= 2x^4-6x^2-20

Объяснение:

Answer 2

To multiply the given expressions, we'll use the distributive property. Let's start with the first expression:

1. (x-6)(x-4)

To multiply this expression, we can use the FOIL method, which stands for First, Outer, Inner, Last. Let's apply it step by step:

First: x * x = x^2 Outer: x * -4 = -4x Inner: -6 * x = -6x Last: -6 * -4 = 24

Combining all the terms, we get:

x^2 - 4x - 6x + 24

Simplifying the expression:

x^2 - 10x + 24

Now, let's move on to the second expression:

2. (2x² + 4)(x² - 5)

Again, we'll use the FOIL method to multiply these expressions:

First: 2x² * x² = 2x^4 Outer: 2x² * -5 = -10x² Inner: 4 * x² = 4x² Last: 4 * -5 = -20

Combining all the terms, we get:

2x^4 - 10x² + 4x² - 20

Simplifying the expression:

2x^4 - 6x² - 20

Therefore, the simplified expressions after multiplying are:

1. (x-6)(x-4) = x^2 - 10x + 24
2. (2x² + 4)(x² - 5) = 2x^4 - 6x² - 20