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= x² - x - 6
b. ( 2x - 3 ) ( x + 4 ) = 2x² - 3x + 8x -12
= 2x² + 5x - 12
d. ( 3m + 2n ) ( 3m - 2n ) = 9m² - 6mn + 6mn - 4n²
= 9m² - 4n²
f. ( 2 + a ) ( a² - 2a + 1 ) = 2a² - 4a + 2 + a³ - 2a² + a
= a³ - 3a + 2
x(x) + x(- 3) + 2(x) + 2(- 3)
x² - 3x + 2x - 6
x² - x - 6
(2x - 3)(x + 4)
2x(x) + 2x(4) - 3(x) - 3(4)
2x² + 8x - 3x - 12
2x² + 5x - 12
(3m + 2n)(3m - 2n)
3m(3m) + 3m(- 2n) + 2n(3m) + 2n(- 2n)
9m² - 6mn + 6mn - 4n²
9m² - 4n²
(2 + a)(a² - 2a + 1)
2(a²) + 2(- 2a) + 2(1) + a(a²) + a(- 2a) + a(1)
2a² - 4a + 2 + a³ - 2a² + a
a³ + 2a² - 2a² - 4a + a + 2
a³ - 3a + 2