Resposta :
a) (x + 4)²= (x)²+2(x)(4)+(4)² = x²+8x+16
b) (x - 2)(x + 2)= x²+2x-2x-4 = x²-4
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04/05/22
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Resposta:
[tex] \pink{a)} \red{x {}^{2} + 8x + 16 }\: \: \: \: \: \: \: \pink{b)} \red{x {}^{2} - 4}[/tex]
Explicação passo-a-passo:
[tex]a)(x + 4) {}^{2} \\ (x + 4) {}^{2} \\ x {}^{2} + 2x \times 4 + 4 {}^{2} \\ 2x \times 4 \\ 8x \\ x {}^{2} + 2x \times 4 + 4 {}^{2} \\ x {}^{2} + 8x + 4 {}^{2} \\ x {}^{2} + 2x \times 4 + 4 {}^{2} \\ 4 {}^{2} \\ 4 \times 4 \\ 16 \\ x {}^{2} + 2x \times 4 + 4 {}^{2} \\ x {}^{2} + 8x + 16 \\ resposta \\ \red{x {}^{2} + 8x + 16} \\ b)(x - 2) \times (x + 2) \\ (x - 2) \times (x + 2) \\ x {}^{2} - 2 {}^{2} \\ 2 {}^{2} \\ 2 \times 2 \\ 4 \\ x {}^{2} - 2 {}^{2} \\ x {}^{2} - 4 \\ resposta \\ \red{x {}^{2} - 4} [/tex]