1.
(5x² - 8x + 6) - (3x² - 3x + 2)
remove the parentheses:
5x² - 8x + 6 - 3x² + 3x - 2
collect like terms:
2x² - 5x + 6 - 2
subtract the numbers:
= 2x² - 5x + 4
2.
(2x² - 9x - 2) × (x - 3)
use the distributive property:
2x²(x - 3) - 9x(x - 3) - 2(x - 3)
remove the parentheses:
2x³ - 6x² - 9x² + 27x - 2x + 6
collect like terms:
= 2x³ - 15x² + 25x + 6
3.
(x² + 7x + 12) ÷ (x + 4)
rewrite:
x² + 7x + 12/x + 4
rewrite the expression:
x² + 4x + 3x + 12/x + 4
factor the expressions:
x(x + 4)+ 3(x + 4)/x + 4
factor the expression:
(x + 4) × (x + 3)/x + 4
reduce the fraction with x + 4:
= x + 3
