Question

desenvolva os produtos notaveis

a)
$(3y - 2) {}^{2}$
b)
$(5x + 2) \times (5x - 2)$
c)
$(4y + 2) {}^{2}$
d)
$(2a - b) {}^{2}$
e)
$(2y + 2) \times (2y - 2)$
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Answer 1

¡Oops!!

Resposta:

a) = 3y²-12y+4

b) = 5x²-4

c) = 4y²+16y+4

d) = 4a²-4ab+b²

e) = 4y²-4

Explicação passo-a-passo:

$a) \: (3y - 2) {}^{2} \\ = (3y - 2).(3y - 2) \\ = 3 {y}^{2} - 6y - 6y + 4 \\ = 3 {y}^{2} - 12y + 4$

$b) \: (5x + 2) \times (5x - 2) \\ = 5 {x}^{2} - 10x + 10x - 4 \\ = 5 {x}^{2} + 0 - 4 \\ =5 {x }^{2} - 4$

$c) \: (4y + 2) {}^{2} \\ = (4y + 2).(4y + 2) \\ = 4 {y}^{2} + 8y + 8y + 4 \\ = 4 {y}^{2} + 16y + 4$

$d) \: (2a - b) {}^{2} \\ = (2a - b).(2a - b) \\ = 4 {a}^{2} - 2ab - 2ab + {b}^{2} \\ = 4 {a}^{2} - 4ab + {b}^{2}$

$e) \: (2y + 2) \times (2y - 2) \\ = 4 {y}^{2} - 4y + 4y - 4 \\ = 4 {y}^{2} + 0 - 4 \\ = 4 {y}^{2} - 4$