Question

calcule os produtos notaveis​

Answer 1

Resposta:

a)

${(a + b)}^{2} = (a + b) \times (a + b) = \\ \\ a \times a + a \times b + a \times b + b \times b \\ \\ {a}^{1 + 1} + ab + ab + {b}^{1 + 1} \\ \\ {a}^{2} + 2ab + {b}^{2}$

b)

${(3z - w)}^{2} = (3z - w) \times (3z - w) = \\ \\ 9 {z}^{1 + 1} - 3zw - 3zw + {w}^{1 + 1} \\ \\ 9 {z}^{2} - 6zw + {w}^{2}$

c)

${(x + 4y)}^{2} = (x + 4y) \times (x + 4y) \\ \\ {x}^{1 + 1} + 4xy + 4xy + 16 {y}^{1 + 1} \\ \\ {x}^{2} + 8xy + 16 {y}^{2}$

d)

${(5ab - 7)}^{2} = (5ab - 7)(5ab - 7) = \\ \\ 25 {a}^{2} {b}^{2} - 35ab - 35ab + 49 \\ \\ 25 {a}^{2} {b}^{2} - 70ab + 49$

Bons Estudos!