Question

HELP!!! I NEED HELP! these are factoring questions!

Answer 1

Answer:

2. 4x³ - 2x² + 4y

3. (2x+3)(2x−5)² (To expand, it would be 8x³ - 28x² - 10x + 75)

Step-by-step explanation:

2.

(4x³ + 2y) - (2x² - 2y)

Find the opposite of 2x² - 2y by finding the opposite of each term.

4x³ + 2y - 2x² + 2y

Add 2y and 2y to get 4y.

4x³ - 2x² + 4y

3.

To simplify this expression, simply multiply 2x - 5 by itself to get (2x + 3)(2x - 5)².

I know this is extra, but I'll expand it out.

(2x + 3)(2x - 5)²

Use binomial theorem (a−b)² =a²−2ab+b²  to expand (2x−5) ²

(2x + 3)(4x² - 20x + 25)

Use the distributive property to multiply 2x + 3 by 4x² - 20x + 25.

8x³ - 40x² + 50x + 12x² - 60x + 75

Combine -40x² and 12x² to get -28x².

8x³ - 28x² + 50x - 60x + 75

Combine 50x and -60x to get -10x.

8x³ - 28x² - 10x + 75