Question

Alguém me ajudaaa!!!!!!

Answer 1

Resposta:

Alternativas A e D

A

= x² + 16x + 64

= x² + 8x + 8x + 8²

= x(x + 8) + 8(x + 8)

= (x + 8).(x + 8)

= (x + 8)² = x² + 2.8x + 8² = x² + 16x + 64

R.: (x + 8)² {✔}

B

4x² + 6xy - 8y²

4x² + 3xy + 3xy - 8y²

x(4x + 3y) + y(3x - 8y)

C

16x² + 8xy + 2y²

16x² + 4xy + 4xy + 2y²

4x(4x + y) + 2y(2x + y)

(4x + y)² = 16x² + 2.4x.y + y² (❌)

D

9x² + 12xy + 4y²

9x² + 6xy + 6xy + 4y²

3x.(3x + 2y) + 2y.(3x + 2y)

(3x + 2y).(3x + 2y) = (3x + 2y)² (sim)

= (3x + 2y)²

= 9x² + 2.3x.2y + 4y²

= 9x² + 12xy + 4y²

R.: (3x + 2y)² {✔}

Answer 2

Resposta:

Alternativas A e D

Explicação passo-a-passo:

A

= x² + 16x + 64

= x² + 8x + 8x + 8²

= x(x + 8) + 8(x + 8)

= (x + 8).(x + 8)

= (x + 8)² = x² + 2.8x + 8² = x² + 16x + 64

R.: (x + 8)² {✔}

B

4x² + 6xy - 8y²

4x² + 3xy + 3xy - 8y²

x(4x + 3y) + y(3x - 8y)

C

16x² + 8xy + 2y²

16x² + 4xy + 4xy + 2y²

4x(4x + y) + 2y(2x + y)

(4x + y)² = 16x² + 2.4x.y + y² (❌)

D

9x² + 12xy + 4y²

9x² + 6xy + 6xy + 4y²

3x.(3x + 2y) + 2y.(3x + 2y)

(3x + 2y).(3x + 2y) = (3x + 2y)² (sim)

= (3x + 2y)²

= 9x² + 2.3x.2y + 4y²

= 9x² + 12xy + 4y²

R.: (3x + 2y)² {✔}