a)
[tex](a + 2)(a - 2) = {a}^{2} - 4[/tex]
b)
[tex](10x + 1)(10x - 1) = 100 {x}^{2} - 1 [/tex]
c)
[tex](4a - 2b)(4a + 2b) = 16 {a}^{2} - 4 {b}^{2} [/tex]
d)
[tex]( \frac{1}{2} t + 3q)( \frac{1}{2} t - 3q) = \frac{1}{4} {t}^{2} - 9 {q}^{2} [/tex]
e)
[tex](2 {a}^{2} - 0.1)(2 {a}^{2} + 0.1) = 4 {a}^{4} - 0.01)[/tex]
f)
[tex](x + 5)(5 - x) = (5 + x)(5 - x) = 25 - {x}^{2} [/tex]
g)
[tex](3a + 1)(1 - 3a) = (1 + 3a)(1 - 3a) = 1 - 9 {a}^{2} [/tex]
h)
[tex](0.7 - 7 {x}^{3} )(7 {x}^{3} + 0.7) = (0.7 - 7 {x}^{3} )(0.7 + 7 {x}^{3}) = 0.49 - 49 {x}^{6} [/tex]
i)
[tex](x - \frac{1}{3} {y}^{2} )(x + \frac{1}{3} {y}^{2}) = {x}^{2} - \frac{1}{9} {y}^{4} [/tex]
j)
[tex](a {b}^{2} + {a}^{2} b)(a {b}^{2} - {a}^{2} b) = {a}^{2} {b}^{4} - {a}^{4} {b}^{2} [/tex]
