What is the simplified form of (-7x³ + 5x² - x + 6) - (-8x³ + x² + 3)?

Solution:

Given: (-7x³ + 5x² - x + 6) - (-8x³ + x² + 3)

We need to subtract the algebraic expressions and evaluate them.

(-7x³ + 5x² - x + 6) - (-8x³ + x² + 3)

= -7x³ + 5x² - x + 6 + 8x³ - x² - 3 9 (Removing the parentheses)

= -7x³ + 8x³ + 5x² - x² - x + 6 - 3 (Grouping the like terms)

Finally we get

= x³ + 4x² - x + 3

Therefore, the simplified form is (x³ + 4x² - x + 3).

What is the simplified form of (-7x³ + 5x² - x + 6) - (-8x³ + x² + 3)?

Summary:

The simplified form of (-7x³ + 5x^{2 -} x + 6) - (-8x³ + x² + 3) is (x³ + 4x² - x + 3).