Answer:
(3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to expression -7x² - 2x + 5
(-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent expression to 7x² + 2x - 5
(12x² + 6x - 5) - (5x² + 8x - 12) is equivalent expression to 7x² - 2x + 7
Explanation:
✔️(3x² - 6x + 11) - (10x² - 4x + 6)
Open the bracket by applying the distributive property
3x² - 6x + 11 - 10x² + 4x - 6
Add like terms
-7x² - 2x + 5
Therefore:
(3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to expression -7x² - 2x + 5
✔️(-3x² - 5x - 3) - (-10x² - 7x + 2)
Apply distributive property
-3x² - 5x - 3 + 10x² + 7x - 2
Add like terms
7x² + 2x - 5
Therefore:
(-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent expression to 7x² + 2x - 5
✔️(12x² + 6x - 5) - (5x² + 8x - 12)
12x² + 6x - 5 - 5x² - 8x + 12
Add like terms
7x² - 2x + 7
Therefore:
(12x² + 6x - 5) - (5x² + 8x - 12) is equivalent expression to 7x² - 2x + 7