Question

Form the indicated operation. Subtract (-8x²-12x) from (12x²-2x)

Answer 1

To subtract (-8x²-12x) from (12x²-2x), change the signs and add the polynomials together to get the final answer, which is 20x² + 10x.

Step-by-step explanation:

To subtract the polynomials (-8x²-12x) from (12x²-2x), you change the sign of each term in the polynomial being subtracted and then combine like terms with the first polynomial. Here are the steps:

1. Change the signs of the second polynomial to get (+8x²+12x).
2. Add this result to the first polynomial, so (12x²-2x) + (8x²+12x).
3. Combine like terms to get the final answer: (12x² + 8x²) + (-2x + 12x) = 20x² + 10x.

This process is similar to other arithmetic operations where subtraction of a negative number is the same as addition, and when dealing with exponents, subtracting exponents is equivalent to division.