Question

3x^2(y+3x^3-2) -2a(b^2-4a^4+5b)

Answer 1

1)3x^2y+9x^4-6x^2

2)-2ab^3+8a^5b-10ab^2

Answer 2

To simplify the expression 3x^2(y+3x^3-2) - 2a(b^2-4a^4+5b), we can distribute the multiplication and combine like terms. Let's break it down step by step:

Step 1: Distribute 3x^2 to the terms inside the parentheses: 3x^2 * y + 3x^2 * (3x^3) - 3x^2 * 2

Step 2: Simplify the multiplication: 3xy + 9x^5 - 6x^2

Step 3: Distribute -2a to the terms inside the parentheses: -2a * b^2 + (-2a) * (-4a^4) + (-2a) * 5b

Step 4: Simplify the multiplication: -2ab^2 + 8a^5 + (-10ab)

Putting it all together, the simplified expression is: 3xy + 9x^5 - 6x^2 - 2ab^2 + 8a^5 - 10ab