Question

11 - Usando a regra do quadrado da soma de dois termos, calcule:

a) (x + 8)² =
b) (3x + 5)² =
c) (3x + y)² =
d)(3 x + 2 y)² =
_ _
4 5

Answer 1

A) x² + 2 . x . 8 + 8² = x² + 16x + 64
B) (3x)² + 2 . 3x . 5 + 5² = 9x² + 30x + 25
C) (3x)² + 2 . 3x . y + y² = 9x² + 6xy + y²
D) É uma fração né ? : (3x/4)² + 2/1 . 3x/4 . 2y/5 + (2y/5) = 9x²/16 + 12xy/20 + 4y²/25

Answer 2

a)(x + 8)²= x² +2.x.8 +8²= x² + 18x + 64

b)(3x + 5)²= (3x)² +2.3x.5 +5² =9x² + 30x + 25

c)(3x + y)²= (3x)² +2.3x.y + y² = 9x² + 6xy + y²

d)(3x/4 + 2y/5)= (3x/4)² +2.3x/4.2y/5 + (2y/5)²= 6x/8 +14xy/20 + 4y/10²