[tex] {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} [/tex]

[tex]2a(3b + 5) = 6ab + 10a[/tex]

[tex](x + 3)(x + 1) = {x }^{2} +4x+3[/tex]

[tex](b - c)(b + c) = {b}^{2} - {c}^{2} [/tex]

[tex] {(a - 5)}^{2} = {a}^{2} - 10a + 25[/tex]

[tex](m - n)( {m}^{2} + mn + {n}^{2} ) = {m}^{3} - {n}^{3} [/tex]

[tex] {(b + 6)}^{2} = {b}^{2} + 12b + 36[/tex]

[tex]a(3 {a}^{2} + a) = 3 {a}^{3} + {a}^{2} [/tex]

[tex]( {p}^{2} - pq + {q}^{2} )(p + q) = {p}^{3} + {q}^{3} [/tex]

[tex](1 - p)(p + 1) = 1 - {p}^{2} [/tex]

[tex](n - 3)(n - 10) = {n }^{2} - 13n + 30[/tex]

[tex](1 - m)(1 + m + {m}^{2} ) = 1 - {m}^{3} [/tex]

[tex]( - a - 4cd)( - d) = ad + 4c {d}^{2} [/tex]

[tex](3m - 2k)(2k + 3m) = 9 {m}^{2} - 4 {k}^{2} [/tex]

[tex]( - 3 - x)(x + 1) = - 4x - 3 - {x}^{2} [/tex]

[tex] {(2a - 7b)}^{2} = 4 {a }^{2} - 28ab + 49 {b}^{2} [/tex]

[tex](2y - 2)(4 - y) = 10y - 2 {y}^{2} - 8[/tex]

[tex]2a(3a - 2) = 6 {a}^{2} - 4a[/tex]

[tex](0.1x - 0.9)(0.1x + 0.9) = 0.01 {x}^{2} - 0.81[/tex]

[tex] {(2x + 0.2y)}^{2} = 4 {x}^{2} + 0.8xy + 0.04 {y}^{2} [/tex]

[tex] {(2 + k)}^{3} = {k}^{3} + 6 {k}^{2} + 12k + 8[/tex]