Question

5) Desenvolva algebricamente cada quadrado de uma sona de dois termos: A) (2x 3)2
B) (3x 4)2
C) (5y 2z)2
D) (a 3x)2 =
E) (2x + x + 10 - 8)2 =​

Answer 1

Resposta:

A) 4x²+12x +9

B) 9x² + 24x +16

C) 25y +20yz + 4z²

D) a²+6ax +9x²

E) 8x²+10x +4

Explicação passo-a-passo:

A) (2x × 3)(2x +3) =

4x² + 6x +6x + 9=

4x²+ 12x + 9

B) (3x +4)(3x +4)=

9x² + 12x +12x + 16=

9x² + 24x +16

C) (5y + 2z)(5y+2z)=

25y² + 10yz +10yz + 4z²=

25y² + 20yz + 4z²

D) (a + 3x)( a + 3x)=

a² + 3ax +3ax + 9x²=

a² + 6ax + 9x²

E) (2x + x + 10 - 8) (2x + x +10 - 8)=

4x²+2x²+20x-6x+2x²+10x-8x+20x+100-80-16x-80+64=

4x²+2x²2x²+20x-16x+10x-8x+20x-16x+100-80-80+64

8x²+4x +2x +4x +20-16

8x²+10x+4