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)
<em>Find the opposite of 2x² - 2y by finding the opposite of each term.</em>
4x³ + 2y - 2x² + 2y
<em>Add 2y and 2y to get 4y.</em>
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
<em>Use binomial theorem (a−b)² =a²−2ab+b² to expand (2x−5)
²</em>
(2x + 3)(4x² - 20x + 25)
<em>Use the distributive property to multiply 2x + 3 by 4x² - 20x + 25.</em>
8x³ - 40x² + 50x + 12x² - 60x + 75
<em>Combine -40x² and 12x² to get -28x².</em>
8x³ - 28x² + 50x - 60x + 75
<em>Combine 50x and -60x to get -10x.</em>
8x³ - 28x² - 10x + 75
