Question

Write the expressionin standard form. (x³ - 3x² + 5x) - (7x³ + 5x² - 12)

Answer 1

To write the given expression in standard form, distribute the negative sign across the second parentheses, combine like terms, which gives you '-6x³ - 8x² + 5x + 12' as the standard form of the expression.

Step-by-step explanation:

To write the expression (x³ - 3x² + 5x) - (7x³ + 5x² - 12) in standard form, you need to perform subtraction by distributing the negative sign to the terms inside the second set of parentheses and then combine like terms.

1. Distribute the negative sign: x³ - 3x² + 5x - 7x³ - 5x² + 12.
2. Combine like terms: (x³ - 7x³) + (-3x² - 5x²) + (5x) + (12).
3. Simplify the expression: -6x³ - 8x² + 5x + 12.

So, the expression in standard form is -6x³ - 8x² + 5x + 12.