Answer:
2. 4x³ - 2x² + 4y
3. (2x+3)(2x−5)² (To expand, it would be 8x³ - 28x² - 10x + 75)
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