Question

A) (a+b).(a-b)
B) (x-3).(-x+3)
C) (3a²+2a+4).(2-3)
D) 3.(a-2).(x-b)​

Answer 1

$a) \: (a + b) \times (a - b) \\ a \times a - ab + ab - b \times b \\ {a}^{2} - ab + ab - {b}^{2} \\ {a}^{2} - {b}^{2}$

$b)(x - 3) \times ( - x + 3) \\ - x \times x + 3x - 3 \times ( - x) - 3 \times 3 \\ - {x}^{2} + 3x + 3x - 9 \\ { - x}^{2} + 6x - 9$

$c) \: ( {3a}^{2} + 2a + 4) \times (2 - 3) \\ {3a}^{2} \times (2 - 3) + 2a \times (2 - 3) + 4( 2 - 3) \\ {6a}^{2} - {9a}^{2} + 4a - 6a + 8 - 12 \\ - {3a}^{2} - 2a - 4$

$d) \: 3(a - 2) \times (x - b) \\ (3a - 6) \times (x - b) \\ 3ax - 3ab - 6x + 6b$