Question

ME AJUDEMMMMMMM!!!!!ME AJUDEMMMMM!!!!!MELHOR RESPOSTAAAAAA PRA QUEM RESPONDEEEE CERTO!​

Answer 1

Resposta: A) $x^{2}$+ 10x + 25

                 B) $a^{2}$ + 6ab + 9$b^{2}$

                 C) $x^{2}$ - 12xy + 36$y^{2}$

                 D)  $a^{6} -4a^{3} +4$

                 E) $a^{2}$ - 36

                 F) $x^{2}$ - 64

Explicação passo-a-passo:

a) (x + 5).(x + 5) =

x(x + 5) + 5(x + 5) =

$x^{2}$ + 5x + 5(x + 5) =

$x^{2}$ + 5x +  5x + 25 = $X^{2}$ + 10x + 25

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b) (a + 3b).(a + 3b) =

a(a+ 3b)+a(a + 3b) =

$a^{2}$  + 3ab + 3b(a + 3b) =

$a^{2}$ + 3ab + 3ab + 9$b^{2}$ = $a^{2}$ + 6ab + 9$b^{2}$

-------------------------------------------------------------------------------------------------------------c) (x - 6y).(x - 6y) =

x(x - 6y) -  6y(x - 6y) =

$x^{2}$ - 6xy - 6y(x - 6y) =

$x^{2}$ - 6xy - 6xy + 36$y^{2}$ = $x^{2}$ - 12xy + 36$y^{2}$

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d) (-1$a^{3}$+2).(-1$a^{3}$+2) =

$-1a^{3}$(-1$a^{3}$+2). $a^{3}$ + 2 (-1$a^{3}$+2) =

$a^{6}$ - $2a^{3}$ + 2($-1a^{3}$ + 2) =

$a^{6} -2a^{3} -2a^{3}+4$ = $a^{6} -4a^{3} +4$

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e) (a - 6).(a + 6) =

a(a-6)-6(a+6)  =

$a^{2}$ - 6a - 6(a+6) =

$a^{2}$ + 6a - 6a - 36 = $a^{2}$ -36

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f) (x - 8).(x + 8) =

x(x - 8) -8(x  + 8) =

$x^{2}$ + 8x - 8(x + 8) =

$x^{2}$ + 8x - 8x - 64 = $x^{2}$ - 64

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