What am I doing wrong?
Problem: 2x^2(5x^2-1x-4)
Answer: 10x^4-2x^3-8^2
The answer is correct.
Don't know what you did until you posted your work.
2 x ^ 2 ( 5 x ^ 2 - 1 x - 4 ) =
( 2 x ^ 2 * 5 x ^ 2 ) - ( 2 x ^ 2 * 1 x ) - ( 2 x ^ 2 * 4 ) =
10 x ^ 4 - 2 x ^ 3 - 8 x ^ 2
Based on the expression you provided, it seems like you have made a mistake in both the multiplication and the exponents. To correctly simplify the expression, you need to apply the distributive property and combine like terms.
Starting with the expression: 2x^2(5x^2 - x - 4)
To distribute 2x^2 to each term inside the parentheses:
2x^2 * 5x^2 = 10x^4
2x^2 * -x = -2x^3
2x^2 * -4 = -8x^2
Now, let's combine the like terms, which are the terms with the same exponent:
10x^4 - 2x^3 - 8x^2
So, the correct simplified form of the expression is 10x^4 - 2x^3 - 8x^2.