Simple distribution
3(5 + 7)
3 * 5 + 3 * 7 = 15 + 21 = 36
(x + 3)(x + 5)
x2 + 8x + 15
(x + 5)(x - 5)
x2 - 52 or x2 - 25
(x + 1)2
x2 + 2x + 1
8(x + 6)
8 * x + 8 * 6 = 8x + 48
(x + 2)(x + 7)
x2 + 9x + 14
(2x + 3)(2x - 3)
4x2 - 9
(x-3)2
x2 - 6x + 9
4(3 + y)
4 * 3 + 4 * y = 12 + 4y
(2x + 6)(x + 4)
2x2 + 14x + 24
(7 - x)(7 + x)
72 - x2
(6 - x)2
36 - 12x + x2
(9 - 2)7
7 * 9 - 7 * 2 = 63 - 14 = 49
(9 + x)(3 + x)
x2 + 12x + 27
102 - v2 = ?
(10 + v)(10 - v)
(3x + 2y)2
9x2 + 2(3x)(2y) + 4y2
9x2 + 12xy + 4y2
a(b+c)
ab+ac
(a+b)(c+d)
ac+ad+bc+bd
a2 - b2 = ?
(a + b)(a - b)
(4x - 2b)2
(4x)2 - 2(4x)(2b) + (2b)2
16x2 - 16bx + 4b2